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Finding the Fourth Proportional to 223.68, 333.12 and 207.84

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Solution

The fourth proportional to 223.68, 333.12 and 207.84 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 333.12 = 207.84 : x
  2. Step 2: Convert to fraction form
    223.68/333.12 = 207.84/x
  3. Step 3: Cross multiply
    223.68x = 333.12 × 207.84
  4. Step 4: Simplify right side
    223.68x = 69,235.66
  5. Step 5: Solve for x
    x = 69,235.66/223.68
  6. Step 6: Final answer
    x = 309.53

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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.