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Finding the Fourth Proportional to 233.64, 321.90 and 211.80

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Solution

The fourth proportional to 233.64, 321.90 and 211.80 is: 291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 321.90 = 211.80 : x
  2. Step 2: Convert to fraction form
    233.64/321.90 = 211.80/x
  3. Step 3: Cross multiply
    233.64x = 321.90 × 211.80
  4. Step 4: Simplify right side
    233.64x = 68,178.42
  5. Step 5: Solve for x
    x = 68,178.42/233.64
  6. Step 6: Final answer
    x = 291.81

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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.