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Finding the Fourth Proportional to 427.69, 590.24 and 253.07

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Solution

The fourth proportional to 427.69, 590.24 and 253.07 is: 349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 590.24 = 253.07 : x
  2. Step 2: Convert to fraction form
    427.69/590.24 = 253.07/x
  3. Step 3: Cross multiply
    427.69x = 590.24 × 253.07
  4. Step 4: Simplify right side
    427.69x = 149,369.72
  5. Step 5: Solve for x
    x = 149,369.72/427.69
  6. Step 6: Final answer
    x = 349.25

Related Problems

Find fourth proportional to 213.84, 295.12 and 126.53
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Double scale
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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.