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Finding the Fourth Proportional to 142.32, 213.49 and 49.78

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Solution

The fourth proportional to 142.32, 213.49 and 49.78 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.49 = 49.78 : x
  2. Step 2: Convert to fraction form
    142.32/213.49 = 49.78/x
  3. Step 3: Cross multiply
    142.32x = 213.49 × 49.78
  4. Step 4: Simplify right side
    142.32x = 10,626.22
  5. Step 5: Solve for x
    x = 10,626.22/142.32
  6. Step 6: Final answer
    x = 74.66

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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.