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Finding the Fourth Proportional to 400.76, 553.12 and 253.28

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Solution

The fourth proportional to 400.76, 553.12 and 253.28 is: 349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.76 : 553.12 = 253.28 : x
  2. Step 2: Convert to fraction form
    400.76/553.12 = 253.28/x
  3. Step 3: Cross multiply
    400.76x = 553.12 × 253.28
  4. Step 4: Simplify right side
    400.76x = 140,094.23
  5. Step 5: Solve for x
    x = 140,094.23/400.76
  6. Step 6: Final answer
    x = 349.57

Related Problems

Find fourth proportional to 200.38, 276.56 and 126.64
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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.