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Finding the Fourth Proportional to 649.96, 975.24 and 239.14

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Solution

The fourth proportional to 649.96, 975.24 and 239.14 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 975.24 = 239.14 : x
  2. Step 2: Convert to fraction form
    649.96/975.24 = 239.14/x
  3. Step 3: Cross multiply
    649.96x = 975.24 × 239.14
  4. Step 4: Simplify right side
    649.96x = 233,218.89
  5. Step 5: Solve for x
    x = 233,218.89/649.96
  6. Step 6: Final answer
    x = 358.82

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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.