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Finding the Fourth Proportional to 364.78, 503.14 and 224.80

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Solution

The fourth proportional to 364.78, 503.14 and 224.80 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 503.14 = 224.80 : x
  2. Step 2: Convert to fraction form
    364.78/503.14 = 224.80/x
  3. Step 3: Cross multiply
    364.78x = 503.14 × 224.80
  4. Step 4: Simplify right side
    364.78x = 113,105.87
  5. Step 5: Solve for x
    x = 113,105.87/364.78
  6. Step 6: Final answer
    x = 310.07

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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.