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Finding the Fourth Proportional to 154.08, 230.28 and 132.48

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Solution

The fourth proportional to 154.08, 230.28 and 132.48 is: 198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 230.28 = 132.48 : x
  2. Step 2: Convert to fraction form
    154.08/230.28 = 132.48/x
  3. Step 3: Cross multiply
    154.08x = 230.28 × 132.48
  4. Step 4: Simplify right side
    154.08x = 30,507.49
  5. Step 5: Solve for x
    x = 30,507.49/154.08
  6. Step 6: Final answer
    x = 198.00

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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.