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Finding the Fourth Proportional to 381.07, 571.88 and 294.62

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Solution

The fourth proportional to 381.07, 571.88 and 294.62 is: 442.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 571.88 = 294.62 : x
  2. Step 2: Convert to fraction form
    381.07/571.88 = 294.62/x
  3. Step 3: Cross multiply
    381.07x = 571.88 × 294.62
  4. Step 4: Simplify right side
    381.07x = 168,487.29
  5. Step 5: Solve for x
    x = 168,487.29/381.07
  6. Step 6: Final answer
    x = 442.14

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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.