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Finding the Fourth Proportional to 49.40, 73.70 and 42.11

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Solution

The fourth proportional to 49.40, 73.70 and 42.11 is: 62.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 73.70 = 42.11 : x
  2. Step 2: Convert to fraction form
    49.40/73.70 = 42.11/x
  3. Step 3: Cross multiply
    49.40x = 73.70 × 42.11
  4. Step 4: Simplify right side
    49.40x = 3,103.24
  5. Step 5: Solve for x
    x = 3,103.24/49.40
  6. Step 6: Final answer
    x = 62.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.