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Finding the Fourth Proportional to 397.74, 597.06 and 281.70

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Solution

The fourth proportional to 397.74, 597.06 and 281.70 is: 422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.74 : 597.06 = 281.70 : x
  2. Step 2: Convert to fraction form
    397.74/597.06 = 281.70/x
  3. Step 3: Cross multiply
    397.74x = 597.06 × 281.70
  4. Step 4: Simplify right side
    397.74x = 168,191.80
  5. Step 5: Solve for x
    x = 168,191.80/397.74
  6. Step 6: Final answer
    x = 422.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.