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Finding the Fourth Proportional to 376.55, 564.24 and 261.22

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Solution

The fourth proportional to 376.55, 564.24 and 261.22 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.55 : 564.24 = 261.22 : x
  2. Step 2: Convert to fraction form
    376.55/564.24 = 261.22/x
  3. Step 3: Cross multiply
    376.55x = 564.24 × 261.22
  4. Step 4: Simplify right side
    376.55x = 147,389.93
  5. Step 5: Solve for x
    x = 147,389.93/376.55
  6. Step 6: Final answer
    x = 391.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.