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Finding the Fourth Proportional to 377.92, 567.11 and 204.71

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Solution

The fourth proportional to 377.92, 567.11 and 204.71 is: 307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.92 : 567.11 = 204.71 : x
  2. Step 2: Convert to fraction form
    377.92/567.11 = 204.71/x
  3. Step 3: Cross multiply
    377.92x = 567.11 × 204.71
  4. Step 4: Simplify right side
    377.92x = 116,090.76
  5. Step 5: Solve for x
    x = 116,090.76/377.92
  6. Step 6: Final answer
    x = 307.19

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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.