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Finding the Fourth Proportional to 127.20, 178.20 and 127.20

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Solution

The fourth proportional to 127.20, 178.20 and 127.20 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 178.20 = 127.20 : x
  2. Step 2: Convert to fraction form
    127.20/178.20 = 127.20/x
  3. Step 3: Cross multiply
    127.20x = 178.20 × 127.20
  4. Step 4: Simplify right side
    127.20x = 22,667.04
  5. Step 5: Solve for x
    x = 22,667.04/127.20
  6. Step 6: Final answer
    x = 178.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.