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Finding the Fourth Proportional to 158.49, 236.46 and 141.97

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Solution

The fourth proportional to 158.49, 236.46 and 141.97 is: 211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.49 : 236.46 = 141.97 : x
  2. Step 2: Convert to fraction form
    158.49/236.46 = 141.97/x
  3. Step 3: Cross multiply
    158.49x = 236.46 × 141.97
  4. Step 4: Simplify right side
    158.49x = 33,569.81
  5. Step 5: Solve for x
    x = 33,569.81/158.49
  6. Step 6: Final answer
    x = 211.81

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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.