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Finding the Fourth Proportional to 288.98, 398.90 and 195.54

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Solution

The fourth proportional to 288.98, 398.90 and 195.54 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 398.90 = 195.54 : x
  2. Step 2: Convert to fraction form
    288.98/398.90 = 195.54/x
  3. Step 3: Cross multiply
    288.98x = 398.90 × 195.54
  4. Step 4: Simplify right side
    288.98x = 78,000.47
  5. Step 5: Solve for x
    x = 78,000.47/288.98
  6. Step 6: Final answer
    x = 269.92

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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.