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Finding the Fourth Proportional to 311.04, 428.24 and 264.32

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Solution

The fourth proportional to 311.04, 428.24 and 264.32 is: 363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 428.24 = 264.32 : x
  2. Step 2: Convert to fraction form
    311.04/428.24 = 264.32/x
  3. Step 3: Cross multiply
    311.04x = 428.24 × 264.32
  4. Step 4: Simplify right side
    311.04x = 113,192.40
  5. Step 5: Solve for x
    x = 113,192.40/311.04
  6. Step 6: Final answer
    x = 363.92

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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.