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Finding the Fourth Proportional to 117.82, 176.44 and 77.20

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Solution

The fourth proportional to 117.82, 176.44 and 77.20 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.82 : 176.44 = 77.20 : x
  2. Step 2: Convert to fraction form
    117.82/176.44 = 77.20/x
  3. Step 3: Cross multiply
    117.82x = 176.44 × 77.20
  4. Step 4: Simplify right side
    117.82x = 13,621.17
  5. Step 5: Solve for x
    x = 13,621.17/117.82
  6. Step 6: Final answer
    x = 115.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.