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Finding the Fourth Proportional to 381.61, 570.19 and 282.36

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Solution

The fourth proportional to 381.61, 570.19 and 282.36 is: 421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.61 : 570.19 = 282.36 : x
  2. Step 2: Convert to fraction form
    381.61/570.19 = 282.36/x
  3. Step 3: Cross multiply
    381.61x = 570.19 × 282.36
  4. Step 4: Simplify right side
    381.61x = 160,998.14
  5. Step 5: Solve for x
    x = 160,998.14/381.61
  6. Step 6: Final answer
    x = 421.89

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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.