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Finding the Fourth Proportional to 312.28, 429.72 and 289.12

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Solution

The fourth proportional to 312.28, 429.72 and 289.12 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.28 : 429.72 = 289.12 : x
  2. Step 2: Convert to fraction form
    312.28/429.72 = 289.12/x
  3. Step 3: Cross multiply
    312.28x = 429.72 × 289.12
  4. Step 4: Simplify right side
    312.28x = 124,240.65
  5. Step 5: Solve for x
    x = 124,240.65/312.28
  6. Step 6: Final answer
    x = 397.85

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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.