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Finding the Fourth Proportional to 221.70, 304.26 and 200.93

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Solution

The fourth proportional to 221.70, 304.26 and 200.93 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 304.26 = 200.93 : x
  2. Step 2: Convert to fraction form
    221.70/304.26 = 200.93/x
  3. Step 3: Cross multiply
    221.70x = 304.26 × 200.93
  4. Step 4: Simplify right side
    221.70x = 61,134.96
  5. Step 5: Solve for x
    x = 61,134.96/221.70
  6. Step 6: Final answer
    x = 275.76

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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.