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Finding the Fourth Proportional to 306.82, 462.62 and 281.30

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Solution

The fourth proportional to 306.82, 462.62 and 281.30 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 462.62 = 281.30 : x
  2. Step 2: Convert to fraction form
    306.82/462.62 = 281.30/x
  3. Step 3: Cross multiply
    306.82x = 462.62 × 281.30
  4. Step 4: Simplify right side
    306.82x = 130,135.01
  5. Step 5: Solve for x
    x = 130,135.01/306.82
  6. Step 6: Final answer
    x = 424.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.