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Finding the Fourth Proportional to 49.02, 73.55 and 21.97

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Solution

The fourth proportional to 49.02, 73.55 and 21.97 is: 32.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.02 : 73.55 = 21.97 : x
  2. Step 2: Convert to fraction form
    49.02/73.55 = 21.97/x
  3. Step 3: Cross multiply
    49.02x = 73.55 × 21.97
  4. Step 4: Simplify right side
    49.02x = 1,615.60
  5. Step 5: Solve for x
    x = 1,615.60/49.02
  6. Step 6: Final answer
    x = 32.96

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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.