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Finding the Fourth Proportional to 377.49, 563.37 and 356.16

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Solution

The fourth proportional to 377.49, 563.37 and 356.16 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.49 : 563.37 = 356.16 : x
  2. Step 2: Convert to fraction form
    377.49/563.37 = 356.16/x
  3. Step 3: Cross multiply
    377.49x = 563.37 × 356.16
  4. Step 4: Simplify right side
    377.49x = 200,649.86
  5. Step 5: Solve for x
    x = 200,649.86/377.49
  6. Step 6: Final answer
    x = 531.54

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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.