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Finding the Fourth Proportional to 170.40, 256.91 and 158.66

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Solution

The fourth proportional to 170.40, 256.91 and 158.66 is: 239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.40 : 256.91 = 158.66 : x
  2. Step 2: Convert to fraction form
    170.40/256.91 = 158.66/x
  3. Step 3: Cross multiply
    170.40x = 256.91 × 158.66
  4. Step 4: Simplify right side
    170.40x = 40,760.23
  5. Step 5: Solve for x
    x = 40,760.23/170.40
  6. Step 6: Final answer
    x = 239.20

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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.