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Finding the Fourth Proportional to 158.98, 239.32 and 144.08

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Solution

The fourth proportional to 158.98, 239.32 and 144.08 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.98 : 239.32 = 144.08 : x
  2. Step 2: Convert to fraction form
    158.98/239.32 = 144.08/x
  3. Step 3: Cross multiply
    158.98x = 239.32 × 144.08
  4. Step 4: Simplify right side
    158.98x = 34,481.23
  5. Step 5: Solve for x
    x = 34,481.23/158.98
  6. Step 6: Final answer
    x = 216.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.