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Finding the Fourth Proportional to 158.43, 236.27 and 135.75

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Solution

The fourth proportional to 158.43, 236.27 and 135.75 is: 202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.43 : 236.27 = 135.75 : x
  2. Step 2: Convert to fraction form
    158.43/236.27 = 135.75/x
  3. Step 3: Cross multiply
    158.43x = 236.27 × 135.75
  4. Step 4: Simplify right side
    158.43x = 32,072.97
  5. Step 5: Solve for x
    x = 32,072.97/158.43
  6. Step 6: Final answer
    x = 202.44

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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.