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Finding the Fourth Proportional to 306.68, 460.20 and 209.15

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Solution

The fourth proportional to 306.68, 460.20 and 209.15 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 460.20 = 209.15 : x
  2. Step 2: Convert to fraction form
    306.68/460.20 = 209.15/x
  3. Step 3: Cross multiply
    306.68x = 460.20 × 209.15
  4. Step 4: Simplify right side
    306.68x = 96,250.83
  5. Step 5: Solve for x
    x = 96,250.83/306.68
  6. Step 6: Final answer
    x = 313.85

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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.