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Finding the Fourth Proportional to 292.80, 439.26 and 87.42

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Solution

The fourth proportional to 292.80, 439.26 and 87.42 is: 131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 439.26 = 87.42 : x
  2. Step 2: Convert to fraction form
    292.80/439.26 = 87.42/x
  3. Step 3: Cross multiply
    292.80x = 439.26 × 87.42
  4. Step 4: Simplify right side
    292.80x = 38,400.11
  5. Step 5: Solve for x
    x = 38,400.11/292.80
  6. Step 6: Final answer
    x = 131.15

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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.