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Finding the Fourth Proportional to 400.64, 553.43 and 339.13

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Solution

The fourth proportional to 400.64, 553.43 and 339.13 is: 468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 553.43 = 339.13 : x
  2. Step 2: Convert to fraction form
    400.64/553.43 = 339.13/x
  3. Step 3: Cross multiply
    400.64x = 553.43 × 339.13
  4. Step 4: Simplify right side
    400.64x = 187,687.29
  5. Step 5: Solve for x
    x = 187,687.29/400.64
  6. Step 6: Final answer
    x = 468.47

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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.