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Finding the Fourth Proportional to 397.12, 592.40 and 353.92

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Solution

The fourth proportional to 397.12, 592.40 and 353.92 is: 527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 592.40 = 353.92 : x
  2. Step 2: Convert to fraction form
    397.12/592.40 = 353.92/x
  3. Step 3: Cross multiply
    397.12x = 592.40 × 353.92
  4. Step 4: Simplify right side
    397.12x = 209,662.21
  5. Step 5: Solve for x
    x = 209,662.21/397.12
  6. Step 6: Final answer
    x = 527.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.