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Finding the Fourth Proportional to 170.02, 256.38 and 167.18

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Solution

The fourth proportional to 170.02, 256.38 and 167.18 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 256.38 = 167.18 : x
  2. Step 2: Convert to fraction form
    170.02/256.38 = 167.18/x
  3. Step 3: Cross multiply
    170.02x = 256.38 × 167.18
  4. Step 4: Simplify right side
    170.02x = 42,861.61
  5. Step 5: Solve for x
    x = 42,861.61/170.02
  6. Step 6: Final answer
    x = 252.10

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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.