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Finding the Fourth Proportional to 376.67, 564.61 and 261.14

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Solution

The fourth proportional to 376.67, 564.61 and 261.14 is: 391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.67 : 564.61 = 261.14 : x
  2. Step 2: Convert to fraction form
    376.67/564.61 = 261.14/x
  3. Step 3: Cross multiply
    376.67x = 564.61 × 261.14
  4. Step 4: Simplify right side
    376.67x = 147,442.26
  5. Step 5: Solve for x
    x = 147,442.26/376.67
  6. Step 6: Final answer
    x = 391.44

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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.