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Finding the Fourth Proportional to 400.31, 552.42 and 253.07

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Solution

The fourth proportional to 400.31, 552.42 and 253.07 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.31 : 552.42 = 253.07 : x
  2. Step 2: Convert to fraction form
    400.31/552.42 = 253.07/x
  3. Step 3: Cross multiply
    400.31x = 552.42 × 253.07
  4. Step 4: Simplify right side
    400.31x = 139,799.12
  5. Step 5: Solve for x
    x = 139,799.12/400.31
  6. Step 6: Final answer
    x = 349.23

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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.