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Finding the Fourth Proportional to 180.80, 244.40 and 180.80

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Solution

The fourth proportional to 180.80, 244.40 and 180.80 is: 244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 244.40 = 180.80 : x
  2. Step 2: Convert to fraction form
    180.80/244.40 = 180.80/x
  3. Step 3: Cross multiply
    180.80x = 244.40 × 180.80
  4. Step 4: Simplify right side
    180.80x = 44,187.52
  5. Step 5: Solve for x
    x = 44,187.52/180.80
  6. Step 6: Final answer
    x = 244.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.