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Finding the Fourth Proportional to 380.90, 568.56 and 348.44

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Solution

The fourth proportional to 380.90, 568.56 and 348.44 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.90 : 568.56 = 348.44 : x
  2. Step 2: Convert to fraction form
    380.90/568.56 = 348.44/x
  3. Step 3: Cross multiply
    380.90x = 568.56 × 348.44
  4. Step 4: Simplify right side
    380.90x = 198,109.66
  5. Step 5: Solve for x
    x = 198,109.66/380.90
  6. Step 6: Final answer
    x = 520.11

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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.