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Finding the Fourth Proportional to 29.48, 40.66 and 20.74

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Solution

The fourth proportional to 29.48, 40.66 and 20.74 is: 28.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.48 : 40.66 = 20.74 : x
  2. Step 2: Convert to fraction form
    29.48/40.66 = 20.74/x
  3. Step 3: Cross multiply
    29.48x = 40.66 × 20.74
  4. Step 4: Simplify right side
    29.48x = 843.29
  5. Step 5: Solve for x
    x = 843.29/29.48
  6. Step 6: Final answer
    x = 28.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.