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Finding the Fourth Proportional to 402.12, 557.18 and 393.48

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Solution

The fourth proportional to 402.12, 557.18 and 393.48 is: 545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 557.18 = 393.48 : x
  2. Step 2: Convert to fraction form
    402.12/557.18 = 393.48/x
  3. Step 3: Cross multiply
    402.12x = 557.18 × 393.48
  4. Step 4: Simplify right side
    402.12x = 219,237.22
  5. Step 5: Solve for x
    x = 219,237.22/402.12
  6. Step 6: Final answer
    x = 545.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.