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Finding the Fourth Proportional to 180.66, 247.10 and 177.83

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Solution

The fourth proportional to 180.66, 247.10 and 177.83 is: 243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 247.10 = 177.83 : x
  2. Step 2: Convert to fraction form
    180.66/247.10 = 177.83/x
  3. Step 3: Cross multiply
    180.66x = 247.10 × 177.83
  4. Step 4: Simplify right side
    180.66x = 43,939.67
  5. Step 5: Solve for x
    x = 43,939.67/180.66
  6. Step 6: Final answer
    x = 243.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.