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Finding the Fourth Proportional to 431.20, 595.09 and 244.71

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Solution

The fourth proportional to 431.20, 595.09 and 244.71 is: 337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 595.09 = 244.71 : x
  2. Step 2: Convert to fraction form
    431.20/595.09 = 244.71/x
  3. Step 3: Cross multiply
    431.20x = 595.09 × 244.71
  4. Step 4: Simplify right side
    431.20x = 145,624.47
  5. Step 5: Solve for x
    x = 145,624.47/431.20
  6. Step 6: Final answer
    x = 337.72

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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.