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Finding the Fourth Proportional to 114.35, 171.90 and 91.77

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Solution

The fourth proportional to 114.35, 171.90 and 91.77 is: 137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.35 : 171.90 = 91.77 : x
  2. Step 2: Convert to fraction form
    114.35/171.90 = 91.77/x
  3. Step 3: Cross multiply
    114.35x = 171.90 × 91.77
  4. Step 4: Simplify right side
    114.35x = 15,775.91
  5. Step 5: Solve for x
    x = 15,775.91/114.35
  6. Step 6: Final answer
    x = 137.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.