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Finding the Fourth Proportional to 49.42, 73.98 and 26.53

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Solution

The fourth proportional to 49.42, 73.98 and 26.53 is: 39.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 73.98 = 26.53 : x
  2. Step 2: Convert to fraction form
    49.42/73.98 = 26.53/x
  3. Step 3: Cross multiply
    49.42x = 73.98 × 26.53
  4. Step 4: Simplify right side
    49.42x = 1,962.50
  5. Step 5: Solve for x
    x = 1,962.50/49.42
  6. Step 6: Final answer
    x = 39.71

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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.