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Finding the Fourth Proportional to 127.76, 176.40 and 100.40

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Solution

The fourth proportional to 127.76, 176.40 and 100.40 is: 138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 176.40 = 100.40 : x
  2. Step 2: Convert to fraction form
    127.76/176.40 = 100.40/x
  3. Step 3: Cross multiply
    127.76x = 176.40 × 100.40
  4. Step 4: Simplify right side
    127.76x = 17,710.56
  5. Step 5: Solve for x
    x = 17,710.56/127.76
  6. Step 6: Final answer
    x = 138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.