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Finding the Fourth Proportional to 377.78, 563.83 and 353.17

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Solution

The fourth proportional to 377.78, 563.83 and 353.17 is: 527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.78 : 563.83 = 353.17 : x
  2. Step 2: Convert to fraction form
    377.78/563.83 = 353.17/x
  3. Step 3: Cross multiply
    377.78x = 563.83 × 353.17
  4. Step 4: Simplify right side
    377.78x = 199,127.66
  5. Step 5: Solve for x
    x = 199,127.66/377.78
  6. Step 6: Final answer
    x = 527.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.