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Finding the Fourth Proportional to 174.30, 260.82 and 170.34

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Solution

The fourth proportional to 174.30, 260.82 and 170.34 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.30 : 260.82 = 170.34 : x
  2. Step 2: Convert to fraction form
    174.30/260.82 = 170.34/x
  3. Step 3: Cross multiply
    174.30x = 260.82 × 170.34
  4. Step 4: Simplify right side
    174.30x = 44,428.08
  5. Step 5: Solve for x
    x = 44,428.08/174.30
  6. Step 6: Final answer
    x = 254.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.