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Finding the Fourth Proportional to 292.32, 402.80 and 239.69

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Solution

The fourth proportional to 292.32, 402.80 and 239.69 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.32 : 402.80 = 239.69 : x
  2. Step 2: Convert to fraction form
    292.32/402.80 = 239.69/x
  3. Step 3: Cross multiply
    292.32x = 402.80 × 239.69
  4. Step 4: Simplify right side
    292.32x = 96,543.92
  5. Step 5: Solve for x
    x = 96,543.92/292.32
  6. Step 6: Final answer
    x = 330.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.