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Finding the Fourth Proportional to 381.98, 570.20 and 335.85

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Solution

The fourth proportional to 381.98, 570.20 and 335.85 is: 501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.98 : 570.20 = 335.85 : x
  2. Step 2: Convert to fraction form
    381.98/570.20 = 335.85/x
  3. Step 3: Cross multiply
    381.98x = 570.20 × 335.85
  4. Step 4: Simplify right side
    381.98x = 191,501.67
  5. Step 5: Solve for x
    x = 191,501.67/381.98
  6. Step 6: Final answer
    x = 501.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.