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Finding the Fourth Proportional to 170.74, 257.41 and 143.88

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Solution

The fourth proportional to 170.74, 257.41 and 143.88 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.74 : 257.41 = 143.88 : x
  2. Step 2: Convert to fraction form
    170.74/257.41 = 143.88/x
  3. Step 3: Cross multiply
    170.74x = 257.41 × 143.88
  4. Step 4: Simplify right side
    170.74x = 37,035.37
  5. Step 5: Solve for x
    x = 37,035.37/170.74
  6. Step 6: Final answer
    x = 216.91

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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.