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Finding the Fourth Proportional to 152.76, 209.65 and 136.86

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Solution

The fourth proportional to 152.76, 209.65 and 136.86 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 209.65 = 136.86 : x
  2. Step 2: Convert to fraction form
    152.76/209.65 = 136.86/x
  3. Step 3: Cross multiply
    152.76x = 209.65 × 136.86
  4. Step 4: Simplify right side
    152.76x = 28,692.70
  5. Step 5: Solve for x
    x = 28,692.70/152.76
  6. Step 6: Final answer
    x = 187.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.