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Finding the Fourth Proportional to 288.96, 399.08 and 223.32

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Solution

The fourth proportional to 288.96, 399.08 and 223.32 is: 308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 399.08 = 223.32 : x
  2. Step 2: Convert to fraction form
    288.96/399.08 = 223.32/x
  3. Step 3: Cross multiply
    288.96x = 399.08 × 223.32
  4. Step 4: Simplify right side
    288.96x = 89,122.55
  5. Step 5: Solve for x
    x = 89,122.55/288.96
  6. Step 6: Final answer
    x = 308.43

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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.