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Finding the Fourth Proportional to 153.12, 230.73 and 149.88

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Solution

The fourth proportional to 153.12, 230.73 and 149.88 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.12 : 230.73 = 149.88 : x
  2. Step 2: Convert to fraction form
    153.12/230.73 = 149.88/x
  3. Step 3: Cross multiply
    153.12x = 230.73 × 149.88
  4. Step 4: Simplify right side
    153.12x = 34,581.81
  5. Step 5: Solve for x
    x = 34,581.81/153.12
  6. Step 6: Final answer
    x = 225.85

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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.