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Finding the Fourth Proportional to 136.66, 203.44 and 135.85

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Solution

The fourth proportional to 136.66, 203.44 and 135.85 is: 202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.66 : 203.44 = 135.85 : x
  2. Step 2: Convert to fraction form
    136.66/203.44 = 135.85/x
  3. Step 3: Cross multiply
    136.66x = 203.44 × 135.85
  4. Step 4: Simplify right side
    136.66x = 27,637.66
  5. Step 5: Solve for x
    x = 27,637.66/136.66
  6. Step 6: Final answer
    x = 202.24

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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.