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Finding the Fourth Proportional to 180.45, 269.48 and 178.56

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Solution

The fourth proportional to 180.45, 269.48 and 178.56 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 269.48 = 178.56 : x
  2. Step 2: Convert to fraction form
    180.45/269.48 = 178.56/x
  3. Step 3: Cross multiply
    180.45x = 269.48 × 178.56
  4. Step 4: Simplify right side
    180.45x = 48,117.46
  5. Step 5: Solve for x
    x = 48,117.46/180.45
  6. Step 6: Final answer
    x = 266.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.