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Finding the Fourth Proportional to 292.78, 439.20 and 100.42

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Solution

The fourth proportional to 292.78, 439.20 and 100.42 is: 150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 439.20 = 100.42 : x
  2. Step 2: Convert to fraction form
    292.78/439.20 = 100.42/x
  3. Step 3: Cross multiply
    292.78x = 439.20 × 100.42
  4. Step 4: Simplify right side
    292.78x = 44,104.46
  5. Step 5: Solve for x
    x = 44,104.46/292.78
  6. Step 6: Final answer
    x = 150.64

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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.