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Finding the Fourth Proportional to 135.49, 202.20 and 132.46

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Solution

The fourth proportional to 135.49, 202.20 and 132.46 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.49 : 202.20 = 132.46 : x
  2. Step 2: Convert to fraction form
    135.49/202.20 = 132.46/x
  3. Step 3: Cross multiply
    135.49x = 202.20 × 132.46
  4. Step 4: Simplify right side
    135.49x = 26,783.41
  5. Step 5: Solve for x
    x = 26,783.41/135.49
  6. Step 6: Final answer
    x = 197.68

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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.