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Finding the Fourth Proportional to 16.61, 24.82 and 13.20

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Solution

The fourth proportional to 16.61, 24.82 and 13.20 is: 19.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.61 : 24.82 = 13.20 : x
  2. Step 2: Convert to fraction form
    16.61/24.82 = 13.20/x
  3. Step 3: Cross multiply
    16.61x = 24.82 × 13.20
  4. Step 4: Simplify right side
    16.61x = 327.57
  5. Step 5: Solve for x
    x = 327.57/16.61
  6. Step 6: Final answer
    x = 19.72

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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.