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Finding the Fourth Proportional to 259.10, 387.96 and 167.30

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Solution

The fourth proportional to 259.10, 387.96 and 167.30 is: 250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 387.96 = 167.30 : x
  2. Step 2: Convert to fraction form
    259.10/387.96 = 167.30/x
  3. Step 3: Cross multiply
    259.10x = 387.96 × 167.30
  4. Step 4: Simplify right side
    259.10x = 64,905.71
  5. Step 5: Solve for x
    x = 64,905.71/259.10
  6. Step 6: Final answer
    x = 250.50

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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.