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Finding the Fourth Proportional to 158.31, 236.34 and 135.24

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Solution

The fourth proportional to 158.31, 236.34 and 135.24 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.31 : 236.34 = 135.24 : x
  2. Step 2: Convert to fraction form
    158.31/236.34 = 135.24/x
  3. Step 3: Cross multiply
    158.31x = 236.34 × 135.24
  4. Step 4: Simplify right side
    158.31x = 31,962.62
  5. Step 5: Solve for x
    x = 31,962.62/158.31
  6. Step 6: Final answer
    x = 201.90

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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.