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Finding the Fourth Proportional to 23.47, 32.28 and 22.75

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Solution

The fourth proportional to 23.47, 32.28 and 22.75 is: 31.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.47 : 32.28 = 22.75 : x
  2. Step 2: Convert to fraction form
    23.47/32.28 = 22.75/x
  3. Step 3: Cross multiply
    23.47x = 32.28 × 22.75
  4. Step 4: Simplify right side
    23.47x = 734.42
  5. Step 5: Solve for x
    x = 734.42/23.47
  6. Step 6: Final answer
    x = 31.29

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Find fourth proportional to 11.74, 16.14 and 11.38
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1.5x scale

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.