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Finding the Fourth Proportional to 170.17, 256.18 and 116.41

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Solution

The fourth proportional to 170.17, 256.18 and 116.41 is: 175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.17 : 256.18 = 116.41 : x
  2. Step 2: Convert to fraction form
    170.17/256.18 = 116.41/x
  3. Step 3: Cross multiply
    170.17x = 256.18 × 116.41
  4. Step 4: Simplify right side
    170.17x = 29,821.91
  5. Step 5: Solve for x
    x = 29,821.91/170.17
  6. Step 6: Final answer
    x = 175.25

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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.