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Finding the Fourth Proportional to 135.47, 202.20 and 131.22

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Solution

The fourth proportional to 135.47, 202.20 and 131.22 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 202.20 = 131.22 : x
  2. Step 2: Convert to fraction form
    135.47/202.20 = 131.22/x
  3. Step 3: Cross multiply
    135.47x = 202.20 × 131.22
  4. Step 4: Simplify right side
    135.47x = 26,532.19
  5. Step 5: Solve for x
    x = 26,532.19/135.47
  6. Step 6: Final answer
    x = 195.85

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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.