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Finding the Fourth Proportional to 131.60, 196.57 and 104.47

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Solution

The fourth proportional to 131.60, 196.57 and 104.47 is: 156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 196.57 = 104.47 : x
  2. Step 2: Convert to fraction form
    131.60/196.57 = 104.47/x
  3. Step 3: Cross multiply
    131.60x = 196.57 × 104.47
  4. Step 4: Simplify right side
    131.60x = 20,535.67
  5. Step 5: Solve for x
    x = 20,535.67/131.60
  6. Step 6: Final answer
    x = 156.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.