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Finding the Fourth Proportional to 95.49, 144 and 84.20

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Solution

The fourth proportional to 95.49, 144 and 84.20 is: 126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.49 : 144 = 84.20 : x
  2. Step 2: Convert to fraction form
    95.49/144 = 84.20/x
  3. Step 3: Cross multiply
    95.49x = 144 × 84.20
  4. Step 4: Simplify right side
    95.49x = 12,124.08
  5. Step 5: Solve for x
    x = 12,124.08/95.49
  6. Step 6: Final answer
    x = 126.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.