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Finding the Fourth Proportional to 136.78, 187.64 and 132.67

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Solution

The fourth proportional to 136.78, 187.64 and 132.67 is: 182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 187.64 = 132.67 : x
  2. Step 2: Convert to fraction form
    136.78/187.64 = 132.67/x
  3. Step 3: Cross multiply
    136.78x = 187.64 × 132.67
  4. Step 4: Simplify right side
    136.78x = 24,894.20
  5. Step 5: Solve for x
    x = 24,894.20/136.78
  6. Step 6: Final answer
    x = 182.00

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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.