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Finding the Fourth Proportional to 288.90, 399.45 and 252.45

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Solution

The fourth proportional to 288.90, 399.45 and 252.45 is: 349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 399.45 = 252.45 : x
  2. Step 2: Convert to fraction form
    288.90/399.45 = 252.45/x
  3. Step 3: Cross multiply
    288.90x = 399.45 × 252.45
  4. Step 4: Simplify right side
    288.90x = 100,841.15
  5. Step 5: Solve for x
    x = 100,841.15/288.90
  6. Step 6: Final answer
    x = 349.05

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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.