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Finding the Fourth Proportional to 229.13, 345.26 and 204.26

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Solution

The fourth proportional to 229.13, 345.26 and 204.26 is: 307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 345.26 = 204.26 : x
  2. Step 2: Convert to fraction form
    229.13/345.26 = 204.26/x
  3. Step 3: Cross multiply
    229.13x = 345.26 × 204.26
  4. Step 4: Simplify right side
    229.13x = 70,520.06
  5. Step 5: Solve for x
    x = 70,520.06/229.13
  6. Step 6: Final answer
    x = 307.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.