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Finding the Fourth Proportional to 158.35, 235.96 and 142.20

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Solution

The fourth proportional to 158.35, 235.96 and 142.20 is: 211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.35 : 235.96 = 142.20 : x
  2. Step 2: Convert to fraction form
    158.35/235.96 = 142.20/x
  3. Step 3: Cross multiply
    158.35x = 235.96 × 142.20
  4. Step 4: Simplify right side
    158.35x = 33,553.51
  5. Step 5: Solve for x
    x = 33,553.51/158.35
  6. Step 6: Final answer
    x = 211.89

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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.