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Finding the Fourth Proportional to 377.16, 563.42 and 319.11

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Solution

The fourth proportional to 377.16, 563.42 and 319.11 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 563.42 = 319.11 : x
  2. Step 2: Convert to fraction form
    377.16/563.42 = 319.11/x
  3. Step 3: Cross multiply
    377.16x = 563.42 × 319.11
  4. Step 4: Simplify right side
    377.16x = 179,791.36
  5. Step 5: Solve for x
    x = 179,791.36/377.16
  6. Step 6: Final answer
    x = 476.70

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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.