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Finding the Fourth Proportional to 137.79, 188.78 and 132.59

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Solution

The fourth proportional to 137.79, 188.78 and 132.59 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 188.78 = 132.59 : x
  2. Step 2: Convert to fraction form
    137.79/188.78 = 132.59/x
  3. Step 3: Cross multiply
    137.79x = 188.78 × 132.59
  4. Step 4: Simplify right side
    137.79x = 25,030.34
  5. Step 5: Solve for x
    x = 25,030.34/137.79
  6. Step 6: Final answer
    x = 181.66

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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.