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Finding the Fourth Proportional to 29.20, 38.80 and 29.20

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Solution

The fourth proportional to 29.20, 38.80 and 29.20 is: 38.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.20 : 38.80 = 29.20 : x
  2. Step 2: Convert to fraction form
    29.20/38.80 = 29.20/x
  3. Step 3: Cross multiply
    29.20x = 38.80 × 29.20
  4. Step 4: Simplify right side
    29.20x = 1,132.96
  5. Step 5: Solve for x
    x = 1,132.96/29.20
  6. Step 6: Final answer
    x = 38.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.