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Finding the Fourth Proportional to 131.70, 197.48 and 91.16

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Solution

The fourth proportional to 131.70, 197.48 and 91.16 is: 136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 197.48 = 91.16 : x
  2. Step 2: Convert to fraction form
    131.70/197.48 = 91.16/x
  3. Step 3: Cross multiply
    131.70x = 197.48 × 91.16
  4. Step 4: Simplify right side
    131.70x = 18,002.28
  5. Step 5: Solve for x
    x = 18,002.28/131.70
  6. Step 6: Final answer
    x = 136.69

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