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Finding the Fourth Proportional to 380.50, 568.16 and 351.34

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Solution

The fourth proportional to 380.50, 568.16 and 351.34 is: 524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.50 : 568.16 = 351.34 : x
  2. Step 2: Convert to fraction form
    380.50/568.16 = 351.34/x
  3. Step 3: Cross multiply
    380.50x = 568.16 × 351.34
  4. Step 4: Simplify right side
    380.50x = 199,617.33
  5. Step 5: Solve for x
    x = 199,617.33/380.50
  6. Step 6: Final answer
    x = 524.62

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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.