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Finding the Fourth Proportional to 377.27, 563.35 and 330.64

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Solution

The fourth proportional to 377.27, 563.35 and 330.64 is: 493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.27 : 563.35 = 330.64 : x
  2. Step 2: Convert to fraction form
    377.27/563.35 = 330.64/x
  3. Step 3: Cross multiply
    377.27x = 563.35 × 330.64
  4. Step 4: Simplify right side
    377.27x = 186,266.04
  5. Step 5: Solve for x
    x = 186,266.04/377.27
  6. Step 6: Final answer
    x = 493.72

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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.