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Finding the Fourth Proportional to 310.32, 428.04 and 212.13

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Solution

The fourth proportional to 310.32, 428.04 and 212.13 is: 292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 428.04 = 212.13 : x
  2. Step 2: Convert to fraction form
    310.32/428.04 = 212.13/x
  3. Step 3: Cross multiply
    310.32x = 428.04 × 212.13
  4. Step 4: Simplify right side
    310.32x = 90,800.13
  5. Step 5: Solve for x
    x = 90,800.13/310.32
  6. Step 6: Final answer
    x = 292.60

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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.