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Finding the Fourth Proportional to 257.13, 354.99 and 169.95

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Solution

The fourth proportional to 257.13, 354.99 and 169.95 is: 234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 354.99 = 169.95 : x
  2. Step 2: Convert to fraction form
    257.13/354.99 = 169.95/x
  3. Step 3: Cross multiply
    257.13x = 354.99 × 169.95
  4. Step 4: Simplify right side
    257.13x = 60,330.55
  5. Step 5: Solve for x
    x = 60,330.55/257.13
  6. Step 6: Final answer
    x = 234.63

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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.