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Finding the Fourth Proportional to 649.60, 974.14 and 238.62

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Solution

The fourth proportional to 649.60, 974.14 and 238.62 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 974.14 = 238.62 : x
  2. Step 2: Convert to fraction form
    649.60/974.14 = 238.62/x
  3. Step 3: Cross multiply
    649.60x = 974.14 × 238.62
  4. Step 4: Simplify right side
    649.60x = 232,449.29
  5. Step 5: Solve for x
    x = 232,449.29/649.60
  6. Step 6: Final answer
    x = 357.83

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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.