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Finding the Fourth Proportional to 381.52, 570.89 and 227.52

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Solution

The fourth proportional to 381.52, 570.89 and 227.52 is: 340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.52 : 570.89 = 227.52 : x
  2. Step 2: Convert to fraction form
    381.52/570.89 = 227.52/x
  3. Step 3: Cross multiply
    381.52x = 570.89 × 227.52
  4. Step 4: Simplify right side
    381.52x = 129,888.89
  5. Step 5: Solve for x
    x = 129,888.89/381.52
  6. Step 6: Final answer
    x = 340.45

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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.