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Finding the Fourth Proportional to 95.08, 143.11 and 77.32

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Solution

The fourth proportional to 95.08, 143.11 and 77.32 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.08 : 143.11 = 77.32 : x
  2. Step 2: Convert to fraction form
    95.08/143.11 = 77.32/x
  3. Step 3: Cross multiply
    95.08x = 143.11 × 77.32
  4. Step 4: Simplify right side
    95.08x = 11,065.27
  5. Step 5: Solve for x
    x = 11,065.27/95.08
  6. Step 6: Final answer
    x = 116.38

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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.