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Finding the Fourth Proportional to 380.91, 568.30 and 362.55

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Solution

The fourth proportional to 380.91, 568.30 and 362.55 is: 540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.91 : 568.30 = 362.55 : x
  2. Step 2: Convert to fraction form
    380.91/568.30 = 362.55/x
  3. Step 3: Cross multiply
    380.91x = 568.30 × 362.55
  4. Step 4: Simplify right side
    380.91x = 206,036.26
  5. Step 5: Solve for x
    x = 206,036.26/380.91
  6. Step 6: Final answer
    x = 540.91

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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.