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Finding the Fourth Proportional to 170.08, 256.54 and 167.92

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Solution

The fourth proportional to 170.08, 256.54 and 167.92 is: 253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.08 : 256.54 = 167.92 : x
  2. Step 2: Convert to fraction form
    170.08/256.54 = 167.92/x
  3. Step 3: Cross multiply
    170.08x = 256.54 × 167.92
  4. Step 4: Simplify right side
    170.08x = 43,078.20
  5. Step 5: Solve for x
    x = 43,078.20/170.08
  6. Step 6: Final answer
    x = 253.28

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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.