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Finding the Fourth Proportional to 381.18, 572.13 and 357.60

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Solution

The fourth proportional to 381.18, 572.13 and 357.60 is: 536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 572.13 = 357.60 : x
  2. Step 2: Convert to fraction form
    381.18/572.13 = 357.60/x
  3. Step 3: Cross multiply
    381.18x = 572.13 × 357.60
  4. Step 4: Simplify right side
    381.18x = 204,593.69
  5. Step 5: Solve for x
    x = 204,593.69/381.18
  6. Step 6: Final answer
    x = 536.74

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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.