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Finding the Fourth Proportional to 25.60, 38.15 and 24.04

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Solution

The fourth proportional to 25.60, 38.15 and 24.04 is: 35.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.60 : 38.15 = 24.04 : x
  2. Step 2: Convert to fraction form
    25.60/38.15 = 24.04/x
  3. Step 3: Cross multiply
    25.60x = 38.15 × 24.04
  4. Step 4: Simplify right side
    25.60x = 917.13
  5. Step 5: Solve for x
    x = 917.13/25.60
  6. Step 6: Final answer
    x = 35.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.