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Finding the Fourth Proportional to 285.66, 425.88 and 254.70

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Solution

The fourth proportional to 285.66, 425.88 and 254.70 is: 379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 425.88 = 254.70 : x
  2. Step 2: Convert to fraction form
    285.66/425.88 = 254.70/x
  3. Step 3: Cross multiply
    285.66x = 425.88 × 254.70
  4. Step 4: Simplify right side
    285.66x = 108,471.64
  5. Step 5: Solve for x
    x = 108,471.64/285.66
  6. Step 6: Final answer
    x = 379.72

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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.