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Finding the Fourth Proportional to 311.46, 430.56 and 298.64

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Solution

The fourth proportional to 311.46, 430.56 and 298.64 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.46 : 430.56 = 298.64 : x
  2. Step 2: Convert to fraction form
    311.46/430.56 = 298.64/x
  3. Step 3: Cross multiply
    311.46x = 430.56 × 298.64
  4. Step 4: Simplify right side
    311.46x = 128,580.29
  5. Step 5: Solve for x
    x = 128,580.29/311.46
  6. Step 6: Final answer
    x = 412.83

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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.