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Finding the Fourth Proportional to 159.12, 238.35 and 149.55

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Solution

The fourth proportional to 159.12, 238.35 and 149.55 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.12 : 238.35 = 149.55 : x
  2. Step 2: Convert to fraction form
    159.12/238.35 = 149.55/x
  3. Step 3: Cross multiply
    159.12x = 238.35 × 149.55
  4. Step 4: Simplify right side
    159.12x = 35,645.24
  5. Step 5: Solve for x
    x = 35,645.24/159.12
  6. Step 6: Final answer
    x = 224.01

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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.