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Finding the Fourth Proportional to 254.51, 351.13 and 167.23

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Solution

The fourth proportional to 254.51, 351.13 and 167.23 is: 230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.51 : 351.13 = 167.23 : x
  2. Step 2: Convert to fraction form
    254.51/351.13 = 167.23/x
  3. Step 3: Cross multiply
    254.51x = 351.13 × 167.23
  4. Step 4: Simplify right side
    254.51x = 58,719.47
  5. Step 5: Solve for x
    x = 58,719.47/254.51
  6. Step 6: Final answer
    x = 230.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.