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Finding the Fourth Proportional to 649.43, 974.64 and 238.95

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Solution

The fourth proportional to 649.43, 974.64 and 238.95 is: 358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 974.64 = 238.95 : x
  2. Step 2: Convert to fraction form
    649.43/974.64 = 238.95/x
  3. Step 3: Cross multiply
    649.43x = 974.64 × 238.95
  4. Step 4: Simplify right side
    649.43x = 232,890.23
  5. Step 5: Solve for x
    x = 232,890.23/649.43
  6. Step 6: Final answer
    x = 358.61

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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.