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Finding the Fourth Proportional to 158.60, 238.41 and 147.33

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Solution

The fourth proportional to 158.60, 238.41 and 147.33 is: 221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.60 : 238.41 = 147.33 : x
  2. Step 2: Convert to fraction form
    158.60/238.41 = 147.33/x
  3. Step 3: Cross multiply
    158.60x = 238.41 × 147.33
  4. Step 4: Simplify right side
    158.60x = 35,124.95
  5. Step 5: Solve for x
    x = 35,124.95/158.60
  6. Step 6: Final answer
    x = 221.47

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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.