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Finding the Fourth Proportional to 306.68, 460.24 and 191.29

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Solution

The fourth proportional to 306.68, 460.24 and 191.29 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 460.24 = 191.29 : x
  2. Step 2: Convert to fraction form
    306.68/460.24 = 191.29/x
  3. Step 3: Cross multiply
    306.68x = 460.24 × 191.29
  4. Step 4: Simplify right side
    306.68x = 88,039.31
  5. Step 5: Solve for x
    x = 88,039.31/306.68
  6. Step 6: Final answer
    x = 287.08

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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.