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Finding the Fourth Proportional to 385.22, 576.08 and 287.79

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Solution

The fourth proportional to 385.22, 576.08 and 287.79 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 576.08 = 287.79 : x
  2. Step 2: Convert to fraction form
    385.22/576.08 = 287.79/x
  3. Step 3: Cross multiply
    385.22x = 576.08 × 287.79
  4. Step 4: Simplify right side
    385.22x = 165,788.62
  5. Step 5: Solve for x
    x = 165,788.62/385.22
  6. Step 6: Final answer
    x = 430.38

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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.