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Finding the Fourth Proportional to 385.08, 576.87 and 202.03

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Solution

The fourth proportional to 385.08, 576.87 and 202.03 is: 302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 576.87 = 202.03 : x
  2. Step 2: Convert to fraction form
    385.08/576.87 = 202.03/x
  3. Step 3: Cross multiply
    385.08x = 576.87 × 202.03
  4. Step 4: Simplify right side
    385.08x = 116,546.42
  5. Step 5: Solve for x
    x = 116,546.42/385.08
  6. Step 6: Final answer
    x = 302.66

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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.