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Finding the Fourth Proportional to 377.66, 563.49 and 332.10

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Solution

The fourth proportional to 377.66, 563.49 and 332.10 is: 495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.66 : 563.49 = 332.10 : x
  2. Step 2: Convert to fraction form
    377.66/563.49 = 332.10/x
  3. Step 3: Cross multiply
    377.66x = 563.49 × 332.10
  4. Step 4: Simplify right side
    377.66x = 187,135.03
  5. Step 5: Solve for x
    x = 187,135.03/377.66
  6. Step 6: Final answer
    x = 495.51

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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.