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Finding the Fourth Proportional to 170.19, 257.13 and 168.75

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Solution

The fourth proportional to 170.19, 257.13 and 168.75 is: 254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.19 : 257.13 = 168.75 : x
  2. Step 2: Convert to fraction form
    170.19/257.13 = 168.75/x
  3. Step 3: Cross multiply
    170.19x = 257.13 × 168.75
  4. Step 4: Simplify right side
    170.19x = 43,390.69
  5. Step 5: Solve for x
    x = 43,390.69/170.19
  6. Step 6: Final answer
    x = 254.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.