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Finding the Fourth Proportional to 223.70, 308.70 and 146.21

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Solution

The fourth proportional to 223.70, 308.70 and 146.21 is: 201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 308.70 = 146.21 : x
  2. Step 2: Convert to fraction form
    223.70/308.70 = 146.21/x
  3. Step 3: Cross multiply
    223.70x = 308.70 × 146.21
  4. Step 4: Simplify right side
    223.70x = 45,133.48
  5. Step 5: Solve for x
    x = 45,133.48/223.70
  6. Step 6: Final answer
    x = 201.76

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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.