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Finding the Fourth Proportional to 178.60, 244.93 and 171.21

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Solution

The fourth proportional to 178.60, 244.93 and 171.21 is: 234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.60 : 244.93 = 171.21 : x
  2. Step 2: Convert to fraction form
    178.60/244.93 = 171.21/x
  3. Step 3: Cross multiply
    178.60x = 244.93 × 171.21
  4. Step 4: Simplify right side
    178.60x = 41,934.47
  5. Step 5: Solve for x
    x = 41,934.47/178.60
  6. Step 6: Final answer
    x = 234.80

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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.