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Finding the Fourth Proportional to 364.73, 502.97 and 281.70

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Solution

The fourth proportional to 364.73, 502.97 and 281.70 is: 388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.73 : 502.97 = 281.70 : x
  2. Step 2: Convert to fraction form
    364.73/502.97 = 281.70/x
  3. Step 3: Cross multiply
    364.73x = 502.97 × 281.70
  4. Step 4: Simplify right side
    364.73x = 141,686.65
  5. Step 5: Solve for x
    x = 141,686.65/364.73
  6. Step 6: Final answer
    x = 388.48

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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.