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Finding the Fourth Proportional to 259.02, 387.74 and 167.54

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Solution

The fourth proportional to 259.02, 387.74 and 167.54 is: 250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.02 : 387.74 = 167.54 : x
  2. Step 2: Convert to fraction form
    259.02/387.74 = 167.54/x
  3. Step 3: Cross multiply
    259.02x = 387.74 × 167.54
  4. Step 4: Simplify right side
    259.02x = 64,959.18
  5. Step 5: Solve for x
    x = 64,959.18/259.02
  6. Step 6: Final answer
    x = 250.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.