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Finding the Fourth Proportional to 19.29, 29.05 and 16.78

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Solution

The fourth proportional to 19.29, 29.05 and 16.78 is: 25.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.29 : 29.05 = 16.78 : x
  2. Step 2: Convert to fraction form
    19.29/29.05 = 16.78/x
  3. Step 3: Cross multiply
    19.29x = 29.05 × 16.78
  4. Step 4: Simplify right side
    19.29x = 487.53
  5. Step 5: Solve for x
    x = 487.53/19.29
  6. Step 6: Final answer
    x = 25.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.