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Finding the Fourth Proportional to 649.61, 974.15 and 238.64

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Solution

The fourth proportional to 649.61, 974.15 and 238.64 is: 357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.61 : 974.15 = 238.64 : x
  2. Step 2: Convert to fraction form
    649.61/974.15 = 238.64/x
  3. Step 3: Cross multiply
    649.61x = 974.15 × 238.64
  4. Step 4: Simplify right side
    649.61x = 232,465.09
  5. Step 5: Solve for x
    x = 232,465.09/649.61
  6. Step 6: Final answer
    x = 357.86

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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.