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Finding the Fourth Proportional to 49.42, 74.39 and 42.80

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Solution

The fourth proportional to 49.42, 74.39 and 42.80 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 74.39 = 42.80 : x
  2. Step 2: Convert to fraction form
    49.42/74.39 = 42.80/x
  3. Step 3: Cross multiply
    49.42x = 74.39 × 42.80
  4. Step 4: Simplify right side
    49.42x = 3,184.18
  5. Step 5: Solve for x
    x = 3,184.18/49.42
  6. Step 6: Final answer
    x = 64.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.