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Finding the Fourth Proportional to 178.22, 244.16 and 171.74

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Solution

The fourth proportional to 178.22, 244.16 and 171.74 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 244.16 = 171.74 : x
  2. Step 2: Convert to fraction form
    178.22/244.16 = 171.74/x
  3. Step 3: Cross multiply
    178.22x = 244.16 × 171.74
  4. Step 4: Simplify right side
    178.22x = 41,932.04
  5. Step 5: Solve for x
    x = 41,932.04/178.22
  6. Step 6: Final answer
    x = 235.28

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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.