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Finding the Fourth Proportional to 397.28, 592.83 and 349.28

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Solution

The fourth proportional to 397.28, 592.83 and 349.28 is: 521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 592.83 = 349.28 : x
  2. Step 2: Convert to fraction form
    397.28/592.83 = 349.28/x
  3. Step 3: Cross multiply
    397.28x = 592.83 × 349.28
  4. Step 4: Simplify right side
    397.28x = 207,060.70
  5. Step 5: Solve for x
    x = 207,060.70/397.28
  6. Step 6: Final answer
    x = 521.20

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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.