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Finding the Fourth Proportional to 259.38, 390.52 and 178.75

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Solution

The fourth proportional to 259.38, 390.52 and 178.75 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.38 : 390.52 = 178.75 : x
  2. Step 2: Convert to fraction form
    259.38/390.52 = 178.75/x
  3. Step 3: Cross multiply
    259.38x = 390.52 × 178.75
  4. Step 4: Simplify right side
    259.38x = 69,805.16
  5. Step 5: Solve for x
    x = 69,805.16/259.38
  6. Step 6: Final answer
    x = 269.12

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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.