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Finding the Fourth Proportional to 312.15, 428.06 and 296.36

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Solution

The fourth proportional to 312.15, 428.06 and 296.36 is: 406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.15 : 428.06 = 296.36 : x
  2. Step 2: Convert to fraction form
    312.15/428.06 = 296.36/x
  3. Step 3: Cross multiply
    312.15x = 428.06 × 296.36
  4. Step 4: Simplify right side
    312.15x = 126,857.72
  5. Step 5: Solve for x
    x = 126,857.72/312.15
  6. Step 6: Final answer
    x = 406.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.