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Finding the Fourth Proportional to 158.13, 236.78 and 106.77

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Solution

The fourth proportional to 158.13, 236.78 and 106.77 is: 159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.13 : 236.78 = 106.77 : x
  2. Step 2: Convert to fraction form
    158.13/236.78 = 106.77/x
  3. Step 3: Cross multiply
    158.13x = 236.78 × 106.77
  4. Step 4: Simplify right side
    158.13x = 25,280.47
  5. Step 5: Solve for x
    x = 25,280.47/158.13
  6. Step 6: Final answer
    x = 159.87

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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.