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Finding the Fourth Proportional to 650.49, 974.86 and 239.24

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Solution

The fourth proportional to 650.49, 974.86 and 239.24 is: 358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.49 : 974.86 = 239.24 : x
  2. Step 2: Convert to fraction form
    650.49/974.86 = 239.24/x
  3. Step 3: Cross multiply
    650.49x = 974.86 × 239.24
  4. Step 4: Simplify right side
    650.49x = 233,224.31
  5. Step 5: Solve for x
    x = 233,224.31/650.49
  6. Step 6: Final answer
    x = 358.54

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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.