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Finding the Fourth Proportional to 312.46, 434.64 and 306.52

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Solution

The fourth proportional to 312.46, 434.64 and 306.52 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.46 : 434.64 = 306.52 : x
  2. Step 2: Convert to fraction form
    312.46/434.64 = 306.52/x
  3. Step 3: Cross multiply
    312.46x = 434.64 × 306.52
  4. Step 4: Simplify right side
    312.46x = 133,224.19
  5. Step 5: Solve for x
    x = 133,224.19/312.46
  6. Step 6: Final answer
    x = 426.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.