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Finding the Fourth Proportional to 131.74, 182.05 and 98.93

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Solution

The fourth proportional to 131.74, 182.05 and 98.93 is: 136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.74 : 182.05 = 98.93 : x
  2. Step 2: Convert to fraction form
    131.74/182.05 = 98.93/x
  3. Step 3: Cross multiply
    131.74x = 182.05 × 98.93
  4. Step 4: Simplify right side
    131.74x = 18,010.41
  5. Step 5: Solve for x
    x = 18,010.41/131.74
  6. Step 6: Final answer
    x = 136.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.