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Finding the Fourth Proportional to 258.61, 356.82 and 170.08

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Solution

The fourth proportional to 258.61, 356.82 and 170.08 is: 234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.61 : 356.82 = 170.08 : x
  2. Step 2: Convert to fraction form
    258.61/356.82 = 170.08/x
  3. Step 3: Cross multiply
    258.61x = 356.82 × 170.08
  4. Step 4: Simplify right side
    258.61x = 60,687.95
  5. Step 5: Solve for x
    x = 60,687.95/258.61
  6. Step 6: Final answer
    x = 234.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.