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Finding the Fourth Proportional to 229.48, 344.76 and 211.66

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Solution

The fourth proportional to 229.48, 344.76 and 211.66 is: 317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.48 : 344.76 = 211.66 : x
  2. Step 2: Convert to fraction form
    229.48/344.76 = 211.66/x
  3. Step 3: Cross multiply
    229.48x = 344.76 × 211.66
  4. Step 4: Simplify right side
    229.48x = 72,971.90
  5. Step 5: Solve for x
    x = 72,971.90/229.48
  6. Step 6: Final answer
    x = 317.99

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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.