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Finding the Fourth Proportional to 120, 165.52 and 90.92

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Solution

The fourth proportional to 120, 165.52 and 90.92 is: 125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.52 = 90.92 : x
  2. Step 2: Convert to fraction form
    120/165.52 = 90.92/x
  3. Step 3: Cross multiply
    120x = 165.52 × 90.92
  4. Step 4: Simplify right side
    120x = 15,049.08
  5. Step 5: Solve for x
    x = 15,049.08/120
  6. Step 6: Final answer
    x = 125.41

Related Problems

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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.