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Finding the Fourth Proportional to 381.96, 570.08 and 333.08

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Solution

The fourth proportional to 381.96, 570.08 and 333.08 is: 497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 570.08 = 333.08 : x
  2. Step 2: Convert to fraction form
    381.96/570.08 = 333.08/x
  3. Step 3: Cross multiply
    381.96x = 570.08 × 333.08
  4. Step 4: Simplify right side
    381.96x = 189,882.25
  5. Step 5: Solve for x
    x = 189,882.25/381.96
  6. Step 6: Final answer
    x = 497.13

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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.