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Finding the Fourth Proportional to 381.08, 570.26 and 335.72

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Solution

The fourth proportional to 381.08, 570.26 and 335.72 is: 502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 570.26 = 335.72 : x
  2. Step 2: Convert to fraction form
    381.08/570.26 = 335.72/x
  3. Step 3: Cross multiply
    381.08x = 570.26 × 335.72
  4. Step 4: Simplify right side
    381.08x = 191,447.69
  5. Step 5: Solve for x
    x = 191,447.69/381.08
  6. Step 6: Final answer
    x = 502.38

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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.