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Finding the Fourth Proportional to 377.55, 563.47 and 367.83

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Solution

The fourth proportional to 377.55, 563.47 and 367.83 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.55 : 563.47 = 367.83 : x
  2. Step 2: Convert to fraction form
    377.55/563.47 = 367.83/x
  3. Step 3: Cross multiply
    377.55x = 563.47 × 367.83
  4. Step 4: Simplify right side
    377.55x = 207,261.17
  5. Step 5: Solve for x
    x = 207,261.17/377.55
  6. Step 6: Final answer
    x = 548.96

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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.