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Finding the Fourth Proportional to 364.78, 503.34 and 217.39

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Solution

The fourth proportional to 364.78, 503.34 and 217.39 is: 299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 503.34 = 217.39 : x
  2. Step 2: Convert to fraction form
    364.78/503.34 = 217.39/x
  3. Step 3: Cross multiply
    364.78x = 503.34 × 217.39
  4. Step 4: Simplify right side
    364.78x = 109,421.08
  5. Step 5: Solve for x
    x = 109,421.08/364.78
  6. Step 6: Final answer
    x = 299.96

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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.