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Finding the Fourth Proportional to 154.20, 230.75 and 108.45

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Solution

The fourth proportional to 154.20, 230.75 and 108.45 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 230.75 = 108.45 : x
  2. Step 2: Convert to fraction form
    154.20/230.75 = 108.45/x
  3. Step 3: Cross multiply
    154.20x = 230.75 × 108.45
  4. Step 4: Simplify right side
    154.20x = 25,024.30
  5. Step 5: Solve for x
    x = 25,024.30/154.20
  6. Step 6: Final answer
    x = 162.28

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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.