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Finding the Fourth Proportional to 429.20, 592.65 and 319.17

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Solution

The fourth proportional to 429.20, 592.65 and 319.17 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 592.65 = 319.17 : x
  2. Step 2: Convert to fraction form
    429.20/592.65 = 319.17/x
  3. Step 3: Cross multiply
    429.20x = 592.65 × 319.17
  4. Step 4: Simplify right side
    429.20x = 189,154.67
  5. Step 5: Solve for x
    x = 189,154.67/429.20
  6. Step 6: Final answer
    x = 440.72

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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.