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Finding the Fourth Proportional to 380.64, 567.33 and 360.12

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Solution

The fourth proportional to 380.64, 567.33 and 360.12 is: 536.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 567.33 = 360.12 : x
  2. Step 2: Convert to fraction form
    380.64/567.33 = 360.12/x
  3. Step 3: Cross multiply
    380.64x = 567.33 × 360.12
  4. Step 4: Simplify right side
    380.64x = 204,306.88
  5. Step 5: Solve for x
    x = 204,306.88/380.64
  6. Step 6: Final answer
    x = 536.75

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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.