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Finding the Fourth Proportional to 421.14, 581.25 and 253.14

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Solution

The fourth proportional to 421.14, 581.25 and 253.14 is: 349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.14 : 581.25 = 253.14 : x
  2. Step 2: Convert to fraction form
    421.14/581.25 = 253.14/x
  3. Step 3: Cross multiply
    421.14x = 581.25 × 253.14
  4. Step 4: Simplify right side
    421.14x = 147,137.63
  5. Step 5: Solve for x
    x = 147,137.63/421.14
  6. Step 6: Final answer
    x = 349.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 422.14, 582.63 and 254.14
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.