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Finding the Fourth Proportional to 49.62, 68.37 and 42.78

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Solution

The fourth proportional to 49.62, 68.37 and 42.78 is: 58.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.62 : 68.37 = 42.78 : x
  2. Step 2: Convert to fraction form
    49.62/68.37 = 42.78/x
  3. Step 3: Cross multiply
    49.62x = 68.37 × 42.78
  4. Step 4: Simplify right side
    49.62x = 2,924.87
  5. Step 5: Solve for x
    x = 2,924.87/49.62
  6. Step 6: Final answer
    x = 58.95

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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.