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Finding the Fourth Proportional to 153.63, 231.49 and 127.17

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Solution

The fourth proportional to 153.63, 231.49 and 127.17 is: 191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 231.49 = 127.17 : x
  2. Step 2: Convert to fraction form
    153.63/231.49 = 127.17/x
  3. Step 3: Cross multiply
    153.63x = 231.49 × 127.17
  4. Step 4: Simplify right side
    153.63x = 29,438.27
  5. Step 5: Solve for x
    x = 29,438.27/153.63
  6. Step 6: Final answer
    x = 191.62

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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.