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Finding the Fourth Proportional to 649.87, 974.22 and 238.91

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Solution

The fourth proportional to 649.87, 974.22 and 238.91 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 974.22 = 238.91 : x
  2. Step 2: Convert to fraction form
    649.87/974.22 = 238.91/x
  3. Step 3: Cross multiply
    649.87x = 974.22 × 238.91
  4. Step 4: Simplify right side
    649.87x = 232,744.83
  5. Step 5: Solve for x
    x = 232,744.83/649.87
  6. Step 6: Final answer
    x = 358.14

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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.