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Finding the Fourth Proportional to 257.65, 354.98 and 170.17

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Solution

The fourth proportional to 257.65, 354.98 and 170.17 is: 234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.65 : 354.98 = 170.17 : x
  2. Step 2: Convert to fraction form
    257.65/354.98 = 170.17/x
  3. Step 3: Cross multiply
    257.65x = 354.98 × 170.17
  4. Step 4: Simplify right side
    257.65x = 60,406.48
  5. Step 5: Solve for x
    x = 60,406.48/257.65
  6. Step 6: Final answer
    x = 234.45

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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.