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Finding the Fourth Proportional to 381.13, 524.67 and 282.70

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Solution

The fourth proportional to 381.13, 524.67 and 282.70 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 524.67 = 282.70 : x
  2. Step 2: Convert to fraction form
    381.13/524.67 = 282.70/x
  3. Step 3: Cross multiply
    381.13x = 524.67 × 282.70
  4. Step 4: Simplify right side
    381.13x = 148,324.21
  5. Step 5: Solve for x
    x = 148,324.21/381.13
  6. Step 6: Final answer
    x = 389.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.