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Finding the Fourth Proportional to 229.73, 316.91 and 188.45

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Solution

The fourth proportional to 229.73, 316.91 and 188.45 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.73 : 316.91 = 188.45 : x
  2. Step 2: Convert to fraction form
    229.73/316.91 = 188.45/x
  3. Step 3: Cross multiply
    229.73x = 316.91 × 188.45
  4. Step 4: Simplify right side
    229.73x = 59,719.16
  5. Step 5: Solve for x
    x = 59,719.16/229.73
  6. Step 6: Final answer
    x = 259.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.