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Finding the Fourth Proportional to 223.59, 333.06 and 211.17

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Solution

The fourth proportional to 223.59, 333.06 and 211.17 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.59 : 333.06 = 211.17 : x
  2. Step 2: Convert to fraction form
    223.59/333.06 = 211.17/x
  3. Step 3: Cross multiply
    223.59x = 333.06 × 211.17
  4. Step 4: Simplify right side
    223.59x = 70,332.28
  5. Step 5: Solve for x
    x = 70,332.28/223.59
  6. Step 6: Final answer
    x = 314.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.