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Finding the Fourth Proportional to 40, 55.20 and 22.75

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Solution

The fourth proportional to 40, 55.20 and 22.75 is: 31.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40 : 55.20 = 22.75 : x
  2. Step 2: Convert to fraction form
    40/55.20 = 22.75/x
  3. Step 3: Cross multiply
    40x = 55.20 × 22.75
  4. Step 4: Simplify right side
    40x = 1,255.80
  5. Step 5: Solve for x
    x = 1,255.80/40
  6. Step 6: Final answer
    x = 31.40

Related Problems

Find fourth proportional to 20, 27.60 and 11.38
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Double scale
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Similar ratio
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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.