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Finding the Fourth Proportional to 229.72, 345.80 and 199.96

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Solution

The fourth proportional to 229.72, 345.80 and 199.96 is: 301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 345.80 = 199.96 : x
  2. Step 2: Convert to fraction form
    229.72/345.80 = 199.96/x
  3. Step 3: Cross multiply
    229.72x = 345.80 × 199.96
  4. Step 4: Simplify right side
    229.72x = 69,146.17
  5. Step 5: Solve for x
    x = 69,146.17/229.72
  6. Step 6: Final answer
    x = 301.00

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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.