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Finding the Fourth Proportional to 233.16, 319.98 and 211.29

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Solution

The fourth proportional to 233.16, 319.98 and 211.29 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 319.98 = 211.29 : x
  2. Step 2: Convert to fraction form
    233.16/319.98 = 211.29/x
  3. Step 3: Cross multiply
    233.16x = 319.98 × 211.29
  4. Step 4: Simplify right side
    233.16x = 67,608.57
  5. Step 5: Solve for x
    x = 67,608.57/233.16
  6. Step 6: Final answer
    x = 289.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.