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Finding the Fourth Proportional to 153.84, 231.78 and 147.12

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Solution

The fourth proportional to 153.84, 231.78 and 147.12 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 231.78 = 147.12 : x
  2. Step 2: Convert to fraction form
    153.84/231.78 = 147.12/x
  3. Step 3: Cross multiply
    153.84x = 231.78 × 147.12
  4. Step 4: Simplify right side
    153.84x = 34,099.47
  5. Step 5: Solve for x
    x = 34,099.47/153.84
  6. Step 6: Final answer
    x = 221.66

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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.