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Finding the Fourth Proportional to 425.27, 585.42 and 331.85

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Solution

The fourth proportional to 425.27, 585.42 and 331.85 is: 456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.27 : 585.42 = 331.85 : x
  2. Step 2: Convert to fraction form
    425.27/585.42 = 331.85/x
  3. Step 3: Cross multiply
    425.27x = 585.42 × 331.85
  4. Step 4: Simplify right side
    425.27x = 194,271.63
  5. Step 5: Solve for x
    x = 194,271.63/425.27
  6. Step 6: Final answer
    x = 456.82

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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.