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Finding the Fourth Proportional to 402.12, 554.50 and 393.16

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Solution

The fourth proportional to 402.12, 554.50 and 393.16 is: 542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 554.50 = 393.16 : x
  2. Step 2: Convert to fraction form
    402.12/554.50 = 393.16/x
  3. Step 3: Cross multiply
    402.12x = 554.50 × 393.16
  4. Step 4: Simplify right side
    402.12x = 218,007.22
  5. Step 5: Solve for x
    x = 218,007.22/402.12
  6. Step 6: Final answer
    x = 542.14

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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.