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Finding the Fourth Proportional to 229.10, 345.02 and 207.68

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Solution

The fourth proportional to 229.10, 345.02 and 207.68 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 345.02 = 207.68 : x
  2. Step 2: Convert to fraction form
    229.10/345.02 = 207.68/x
  3. Step 3: Cross multiply
    229.10x = 345.02 × 207.68
  4. Step 4: Simplify right side
    229.10x = 71,653.75
  5. Step 5: Solve for x
    x = 71,653.75/229.10
  6. Step 6: Final answer
    x = 312.76

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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.