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Finding the Fourth Proportional to 23.31, 32.05 and 17.85

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Solution

The fourth proportional to 23.31, 32.05 and 17.85 is: 24.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 32.05 = 17.85 : x
  2. Step 2: Convert to fraction form
    23.31/32.05 = 17.85/x
  3. Step 3: Cross multiply
    23.31x = 32.05 × 17.85
  4. Step 4: Simplify right side
    23.31x = 571.86
  5. Step 5: Solve for x
    x = 571.86/23.31
  6. Step 6: Final answer
    x = 24.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.