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Finding the Fourth Proportional to 158, 218.08 and 95.87

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Solution

The fourth proportional to 158, 218.08 and 95.87 is: 132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158 : 218.08 = 95.87 : x
  2. Step 2: Convert to fraction form
    158/218.08 = 95.87/x
  3. Step 3: Cross multiply
    158x = 218.08 × 95.87
  4. Step 4: Simplify right side
    158x = 20,907.33
  5. Step 5: Solve for x
    x = 20,907.33/158
  6. Step 6: Final answer
    x = 132.32

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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.