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Finding the Fourth Proportional to 170.30, 256.59 and 140.54

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Solution

The fourth proportional to 170.30, 256.59 and 140.54 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.30 : 256.59 = 140.54 : x
  2. Step 2: Convert to fraction form
    170.30/256.59 = 140.54/x
  3. Step 3: Cross multiply
    170.30x = 256.59 × 140.54
  4. Step 4: Simplify right side
    170.30x = 36,059.88
  5. Step 5: Solve for x
    x = 36,059.88/170.30
  6. Step 6: Final answer
    x = 211.74

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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.