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Finding the Fourth Proportional to 158.80, 239.64 and 153.44

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Solution

The fourth proportional to 158.80, 239.64 and 153.44 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.80 : 239.64 = 153.44 : x
  2. Step 2: Convert to fraction form
    158.80/239.64 = 153.44/x
  3. Step 3: Cross multiply
    158.80x = 239.64 × 153.44
  4. Step 4: Simplify right side
    158.80x = 36,770.36
  5. Step 5: Solve for x
    x = 36,770.36/158.80
  6. Step 6: Final answer
    x = 231.55

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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.