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Finding the Fourth Proportional to 229.30, 321.02 and 229.30

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Solution

The fourth proportional to 229.30, 321.02 and 229.30 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 321.02 = 229.30 : x
  2. Step 2: Convert to fraction form
    229.30/321.02 = 229.30/x
  3. Step 3: Cross multiply
    229.30x = 321.02 × 229.30
  4. Step 4: Simplify right side
    229.30x = 73,609.89
  5. Step 5: Solve for x
    x = 73,609.89/229.30
  6. Step 6: Final answer
    x = 321.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.