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Finding the Fourth Proportional to 380.99, 572.15 and 227.89

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Solution

The fourth proportional to 380.99, 572.15 and 227.89 is: 342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.99 : 572.15 = 227.89 : x
  2. Step 2: Convert to fraction form
    380.99/572.15 = 227.89/x
  3. Step 3: Cross multiply
    380.99x = 572.15 × 227.89
  4. Step 4: Simplify right side
    380.99x = 130,387.26
  5. Step 5: Solve for x
    x = 130,387.26/380.99
  6. Step 6: Final answer
    x = 342.23

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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.