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Finding the Fourth Proportional to 158.39, 236.86 and 142.19

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Solution

The fourth proportional to 158.39, 236.86 and 142.19 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.39 : 236.86 = 142.19 : x
  2. Step 2: Convert to fraction form
    158.39/236.86 = 142.19/x
  3. Step 3: Cross multiply
    158.39x = 236.86 × 142.19
  4. Step 4: Simplify right side
    158.39x = 33,679.12
  5. Step 5: Solve for x
    x = 33,679.12/158.39
  6. Step 6: Final answer
    x = 212.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.