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Finding the Fourth Proportional to 362.12, 502.38 and 349.16

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Solution

The fourth proportional to 362.12, 502.38 and 349.16 is: 484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 502.38 = 349.16 : x
  2. Step 2: Convert to fraction form
    362.12/502.38 = 349.16/x
  3. Step 3: Cross multiply
    362.12x = 502.38 × 349.16
  4. Step 4: Simplify right side
    362.12x = 175,411.00
  5. Step 5: Solve for x
    x = 175,411.00/362.12
  6. Step 6: Final answer
    x = 484.40

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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.