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Finding the Fourth Proportional to 177.90, 246.89 and 170.70

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Solution

The fourth proportional to 177.90, 246.89 and 170.70 is: 236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 246.89 = 170.70 : x
  2. Step 2: Convert to fraction form
    177.90/246.89 = 170.70/x
  3. Step 3: Cross multiply
    177.90x = 246.89 × 170.70
  4. Step 4: Simplify right side
    177.90x = 42,143.27
  5. Step 5: Solve for x
    x = 42,143.27/177.90
  6. Step 6: Final answer
    x = 236.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.