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Finding the Fourth Proportional to 288.90, 399.06 and 252.54

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Solution

The fourth proportional to 288.90, 399.06 and 252.54 is: 348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 399.06 = 252.54 : x
  2. Step 2: Convert to fraction form
    288.90/399.06 = 252.54/x
  3. Step 3: Cross multiply
    288.90x = 399.06 × 252.54
  4. Step 4: Simplify right side
    288.90x = 100,778.61
  5. Step 5: Solve for x
    x = 100,778.61/288.90
  6. Step 6: Final answer
    x = 348.84

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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.