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Finding the Fourth Proportional to 170.27, 256.65 and 140.20

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Solution

The fourth proportional to 170.27, 256.65 and 140.20 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.27 : 256.65 = 140.20 : x
  2. Step 2: Convert to fraction form
    170.27/256.65 = 140.20/x
  3. Step 3: Cross multiply
    170.27x = 256.65 × 140.20
  4. Step 4: Simplify right side
    170.27x = 35,981.16
  5. Step 5: Solve for x
    x = 35,981.16/170.27
  6. Step 6: Final answer
    x = 211.32

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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.