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Finding the Fourth Proportional to 229.10, 315.63 and 187.65

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Solution

The fourth proportional to 229.10, 315.63 and 187.65 is: 258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 315.63 = 187.65 : x
  2. Step 2: Convert to fraction form
    229.10/315.63 = 187.65/x
  3. Step 3: Cross multiply
    229.10x = 315.63 × 187.65
  4. Step 4: Simplify right side
    229.10x = 59,227.97
  5. Step 5: Solve for x
    x = 59,227.97/229.10
  6. Step 6: Final answer
    x = 258.53

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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.