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Finding the Fourth Proportional to 364.60, 503.22 and 217.16

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Solution

The fourth proportional to 364.60, 503.22 and 217.16 is: 299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.60 : 503.22 = 217.16 : x
  2. Step 2: Convert to fraction form
    364.60/503.22 = 217.16/x
  3. Step 3: Cross multiply
    364.60x = 503.22 × 217.16
  4. Step 4: Simplify right side
    364.60x = 109,279.26
  5. Step 5: Solve for x
    x = 109,279.26/364.60
  6. Step 6: Final answer
    x = 299.72

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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.