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Finding the Fourth Proportional to 288.98, 398.78 and 178.42

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Solution

The fourth proportional to 288.98, 398.78 and 178.42 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 398.78 = 178.42 : x
  2. Step 2: Convert to fraction form
    288.98/398.78 = 178.42/x
  3. Step 3: Cross multiply
    288.98x = 398.78 × 178.42
  4. Step 4: Simplify right side
    288.98x = 71,148.44
  5. Step 5: Solve for x
    x = 71,148.44/288.98
  6. Step 6: Final answer
    x = 246.20

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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.