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Finding the Fourth Proportional to 679.88, 938.24 and 369.38

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Solution

The fourth proportional to 679.88, 938.24 and 369.38 is: 509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.88 : 938.24 = 369.38 : x
  2. Step 2: Convert to fraction form
    679.88/938.24 = 369.38/x
  3. Step 3: Cross multiply
    679.88x = 938.24 × 369.38
  4. Step 4: Simplify right side
    679.88x = 346,560.55
  5. Step 5: Solve for x
    x = 346,560.55/679.88
  6. Step 6: Final answer
    x = 509.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.