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Finding the Fourth Proportional to 131.57, 197.42 and 67.45

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Solution

The fourth proportional to 131.57, 197.42 and 67.45 is: 101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.57 : 197.42 = 67.45 : x
  2. Step 2: Convert to fraction form
    131.57/197.42 = 67.45/x
  3. Step 3: Cross multiply
    131.57x = 197.42 × 67.45
  4. Step 4: Simplify right side
    131.57x = 13,315.98
  5. Step 5: Solve for x
    x = 13,315.98/131.57
  6. Step 6: Final answer
    x = 101.21

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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.