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Finding the Fourth Proportional to 229.78, 317.22 and 202.48

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Solution

The fourth proportional to 229.78, 317.22 and 202.48 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 317.22 = 202.48 : x
  2. Step 2: Convert to fraction form
    229.78/317.22 = 202.48/x
  3. Step 3: Cross multiply
    229.78x = 317.22 × 202.48
  4. Step 4: Simplify right side
    229.78x = 64,230.71
  5. Step 5: Solve for x
    x = 64,230.71/229.78
  6. Step 6: Final answer
    x = 279.53

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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.