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Finding the Fourth Proportional to 381.44, 569.16 and 358.22

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Solution

The fourth proportional to 381.44, 569.16 and 358.22 is: 534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 569.16 = 358.22 : x
  2. Step 2: Convert to fraction form
    381.44/569.16 = 358.22/x
  3. Step 3: Cross multiply
    381.44x = 569.16 × 358.22
  4. Step 4: Simplify right side
    381.44x = 203,882.70
  5. Step 5: Solve for x
    x = 203,882.70/381.44
  6. Step 6: Final answer
    x = 534.51

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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.