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Finding the Fourth Proportional to 310.86, 429.12 and 217.62

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Solution

The fourth proportional to 310.86, 429.12 and 217.62 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.86 : 429.12 = 217.62 : x
  2. Step 2: Convert to fraction form
    310.86/429.12 = 217.62/x
  3. Step 3: Cross multiply
    310.86x = 429.12 × 217.62
  4. Step 4: Simplify right side
    310.86x = 93,385.09
  5. Step 5: Solve for x
    x = 93,385.09/310.86
  6. Step 6: Final answer
    x = 300.41

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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.