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Finding the Fourth Proportional to 362.32, 500.08 and 212.96

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Solution

The fourth proportional to 362.32, 500.08 and 212.96 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 500.08 = 212.96 : x
  2. Step 2: Convert to fraction form
    362.32/500.08 = 212.96/x
  3. Step 3: Cross multiply
    362.32x = 500.08 × 212.96
  4. Step 4: Simplify right side
    362.32x = 106,497.04
  5. Step 5: Solve for x
    x = 106,497.04/362.32
  6. Step 6: Final answer
    x = 293.93

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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.