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Finding the Fourth Proportional to 19.48, 29.20 and 8.65

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Solution

The fourth proportional to 19.48, 29.20 and 8.65 is: 12.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.48 : 29.20 = 8.65 : x
  2. Step 2: Convert to fraction form
    19.48/29.20 = 8.65/x
  3. Step 3: Cross multiply
    19.48x = 29.20 × 8.65
  4. Step 4: Simplify right side
    19.48x = 252.58
  5. Step 5: Solve for x
    x = 252.58/19.48
  6. Step 6: Final answer
    x = 12.97

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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.