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Finding the Fourth Proportional to 233.06, 320.89 and 211.46

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Solution

The fourth proportional to 233.06, 320.89 and 211.46 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 320.89 = 211.46 : x
  2. Step 2: Convert to fraction form
    233.06/320.89 = 211.46/x
  3. Step 3: Cross multiply
    233.06x = 320.89 × 211.46
  4. Step 4: Simplify right side
    233.06x = 67,855.40
  5. Step 5: Solve for x
    x = 67,855.40/233.06
  6. Step 6: Final answer
    x = 291.15

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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.