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Finding the Fourth Proportional to 363.89, 543.71 and 351.14

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Solution

The fourth proportional to 363.89, 543.71 and 351.14 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.89 : 543.71 = 351.14 : x
  2. Step 2: Convert to fraction form
    363.89/543.71 = 351.14/x
  3. Step 3: Cross multiply
    363.89x = 543.71 × 351.14
  4. Step 4: Simplify right side
    363.89x = 190,916.49
  5. Step 5: Solve for x
    x = 190,916.49/363.89
  6. Step 6: Final answer
    x = 524.65

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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.