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Finding the Fourth Proportional to 335.97, 502.73 and 315.21

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Solution

The fourth proportional to 335.97, 502.73 and 315.21 is: 471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.97 : 502.73 = 315.21 : x
  2. Step 2: Convert to fraction form
    335.97/502.73 = 315.21/x
  3. Step 3: Cross multiply
    335.97x = 502.73 × 315.21
  4. Step 4: Simplify right side
    335.97x = 158,463.95
  5. Step 5: Solve for x
    x = 158,463.95/335.97
  6. Step 6: Final answer
    x = 471.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.