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Finding the Fourth Proportional to 153.32, 231.30 and 145.73

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Solution

The fourth proportional to 153.32, 231.30 and 145.73 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.32 : 231.30 = 145.73 : x
  2. Step 2: Convert to fraction form
    153.32/231.30 = 145.73/x
  3. Step 3: Cross multiply
    153.32x = 231.30 × 145.73
  4. Step 4: Simplify right side
    153.32x = 33,707.93
  5. Step 5: Solve for x
    x = 33,707.93/153.32
  6. Step 6: Final answer
    x = 219.86

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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.