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Finding the Fourth Proportional to 221.84, 333.23 and 144.93

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Solution

The fourth proportional to 221.84, 333.23 and 144.93 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 333.23 = 144.93 : x
  2. Step 2: Convert to fraction form
    221.84/333.23 = 144.93/x
  3. Step 3: Cross multiply
    221.84x = 333.23 × 144.93
  4. Step 4: Simplify right side
    221.84x = 48,295.02
  5. Step 5: Solve for x
    x = 48,295.02/221.84
  6. Step 6: Final answer
    x = 217.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.