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Finding the Fourth Proportional to 229.13, 316.23 and 187.60

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Solution

The fourth proportional to 229.13, 316.23 and 187.60 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 316.23 = 187.60 : x
  2. Step 2: Convert to fraction form
    229.13/316.23 = 187.60/x
  3. Step 3: Cross multiply
    229.13x = 316.23 × 187.60
  4. Step 4: Simplify right side
    229.13x = 59,324.75
  5. Step 5: Solve for x
    x = 59,324.75/229.13
  6. Step 6: Final answer
    x = 258.91

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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.