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Finding the Fourth Proportional to 229.68, 345.78 and 189.72

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Solution

The fourth proportional to 229.68, 345.78 and 189.72 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 345.78 = 189.72 : x
  2. Step 2: Convert to fraction form
    229.68/345.78 = 189.72/x
  3. Step 3: Cross multiply
    229.68x = 345.78 × 189.72
  4. Step 4: Simplify right side
    229.68x = 65,601.38
  5. Step 5: Solve for x
    x = 65,601.38/229.68
  6. Step 6: Final answer
    x = 285.62

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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.