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Finding the Fourth Proportional to 289.43, 434.95 and 218.15

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Solution

The fourth proportional to 289.43, 434.95 and 218.15 is: 327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.43 : 434.95 = 218.15 : x
  2. Step 2: Convert to fraction form
    289.43/434.95 = 218.15/x
  3. Step 3: Cross multiply
    289.43x = 434.95 × 218.15
  4. Step 4: Simplify right side
    289.43x = 94,884.34
  5. Step 5: Solve for x
    x = 94,884.34/289.43
  6. Step 6: Final answer
    x = 327.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.