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Finding the Fourth Proportional to 385.11, 576.73 and 238.93

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Solution

The fourth proportional to 385.11, 576.73 and 238.93 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.11 : 576.73 = 238.93 : x
  2. Step 2: Convert to fraction form
    385.11/576.73 = 238.93/x
  3. Step 3: Cross multiply
    385.11x = 576.73 × 238.93
  4. Step 4: Simplify right side
    385.11x = 137,798.10
  5. Step 5: Solve for x
    x = 137,798.10/385.11
  6. Step 6: Final answer
    x = 357.81

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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.