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Finding the Fourth Proportional to 264.96, 396.72 and 229.32

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Solution

The fourth proportional to 264.96, 396.72 and 229.32 is: 343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 396.72 = 229.32 : x
  2. Step 2: Convert to fraction form
    264.96/396.72 = 229.32/x
  3. Step 3: Cross multiply
    264.96x = 396.72 × 229.32
  4. Step 4: Simplify right side
    264.96x = 90,975.83
  5. Step 5: Solve for x
    x = 90,975.83/264.96
  6. Step 6: Final answer
    x = 343.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.