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Finding the Fourth Proportional to 137.16, 188.08 and 132.56

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Solution

The fourth proportional to 137.16, 188.08 and 132.56 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 188.08 = 132.56 : x
  2. Step 2: Convert to fraction form
    137.16/188.08 = 132.56/x
  3. Step 3: Cross multiply
    137.16x = 188.08 × 132.56
  4. Step 4: Simplify right side
    137.16x = 24,931.88
  5. Step 5: Solve for x
    x = 24,931.88/137.16
  6. Step 6: Final answer
    x = 181.77

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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.