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Finding the Fourth Proportional to 429.70, 592.76 and 331.42

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Solution

The fourth proportional to 429.70, 592.76 and 331.42 is: 457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.70 : 592.76 = 331.42 : x
  2. Step 2: Convert to fraction form
    429.70/592.76 = 331.42/x
  3. Step 3: Cross multiply
    429.70x = 592.76 × 331.42
  4. Step 4: Simplify right side
    429.70x = 196,452.52
  5. Step 5: Solve for x
    x = 196,452.52/429.70
  6. Step 6: Final answer
    x = 457.19

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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.