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Finding the Fourth Proportional to 364.99, 503.78 and 225.27

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Solution

The fourth proportional to 364.99, 503.78 and 225.27 is: 310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.99 : 503.78 = 225.27 : x
  2. Step 2: Convert to fraction form
    364.99/503.78 = 225.27/x
  3. Step 3: Cross multiply
    364.99x = 503.78 × 225.27
  4. Step 4: Simplify right side
    364.99x = 113,486.52
  5. Step 5: Solve for x
    x = 113,486.52/364.99
  6. Step 6: Final answer
    x = 310.93

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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.