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Finding the Fourth Proportional to 649.53, 974.31 and 238.40

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Solution

The fourth proportional to 649.53, 974.31 and 238.40 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 974.31 = 238.40 : x
  2. Step 2: Convert to fraction form
    649.53/974.31 = 238.40/x
  3. Step 3: Cross multiply
    649.53x = 974.31 × 238.40
  4. Step 4: Simplify right side
    649.53x = 232,270.63
  5. Step 5: Solve for x
    x = 232,270.63/649.53
  6. Step 6: Final answer
    x = 357.60

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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.