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Finding the Fourth Proportional to 229.08, 345.14 and 189.38

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Solution

The fourth proportional to 229.08, 345.14 and 189.38 is: 285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 345.14 = 189.38 : x
  2. Step 2: Convert to fraction form
    229.08/345.14 = 189.38/x
  3. Step 3: Cross multiply
    229.08x = 345.14 × 189.38
  4. Step 4: Simplify right side
    229.08x = 65,362.61
  5. Step 5: Solve for x
    x = 65,362.61/229.08
  6. Step 6: Final answer
    x = 285.33

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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.