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Finding the Fourth Proportional to 170.16, 253.82 and 151.92

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Solution

The fourth proportional to 170.16, 253.82 and 151.92 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 253.82 = 151.92 : x
  2. Step 2: Convert to fraction form
    170.16/253.82 = 151.92/x
  3. Step 3: Cross multiply
    170.16x = 253.82 × 151.92
  4. Step 4: Simplify right side
    170.16x = 38,560.33
  5. Step 5: Solve for x
    x = 38,560.33/170.16
  6. Step 6: Final answer
    x = 226.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.