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Finding the Fourth Proportional to 19.76, 29.57 and 16.16

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Solution

The fourth proportional to 19.76, 29.57 and 16.16 is: 24.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.76 : 29.57 = 16.16 : x
  2. Step 2: Convert to fraction form
    19.76/29.57 = 16.16/x
  3. Step 3: Cross multiply
    19.76x = 29.57 × 16.16
  4. Step 4: Simplify right side
    19.76x = 477.62
  5. Step 5: Solve for x
    x = 477.62/19.76
  6. Step 6: Final answer
    x = 24.18

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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.