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Finding the Fourth Proportional to 306.71, 460.07 and 252.49

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Solution

The fourth proportional to 306.71, 460.07 and 252.49 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.71 : 460.07 = 252.49 : x
  2. Step 2: Convert to fraction form
    306.71/460.07 = 252.49/x
  3. Step 3: Cross multiply
    306.71x = 460.07 × 252.49
  4. Step 4: Simplify right side
    306.71x = 116,163.07
  5. Step 5: Solve for x
    x = 116,163.07/306.71
  6. Step 6: Final answer
    x = 378.74

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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.