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Finding the Fourth Proportional to 223.89, 309.38 and 202.02

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Solution

The fourth proportional to 223.89, 309.38 and 202.02 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.89 : 309.38 = 202.02 : x
  2. Step 2: Convert to fraction form
    223.89/309.38 = 202.02/x
  3. Step 3: Cross multiply
    223.89x = 309.38 × 202.02
  4. Step 4: Simplify right side
    223.89x = 62,500.95
  5. Step 5: Solve for x
    x = 62,500.95/223.89
  6. Step 6: Final answer
    x = 279.16

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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.