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Finding the Fourth Proportional to 366.71, 502.97 and 322.97

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Solution

The fourth proportional to 366.71, 502.97 and 322.97 is: 442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.71 : 502.97 = 322.97 : x
  2. Step 2: Convert to fraction form
    366.71/502.97 = 322.97/x
  3. Step 3: Cross multiply
    366.71x = 502.97 × 322.97
  4. Step 4: Simplify right side
    366.71x = 162,440.09
  5. Step 5: Solve for x
    x = 162,440.09/366.71
  6. Step 6: Final answer
    x = 442.97

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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.