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Finding the Fourth Proportional to 209.54, 315.72 and 187.43

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Solution

The fourth proportional to 209.54, 315.72 and 187.43 is: 282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.54 : 315.72 = 187.43 : x
  2. Step 2: Convert to fraction form
    209.54/315.72 = 187.43/x
  3. Step 3: Cross multiply
    209.54x = 315.72 × 187.43
  4. Step 4: Simplify right side
    209.54x = 59,173.82
  5. Step 5: Solve for x
    x = 59,173.82/209.54
  6. Step 6: Final answer
    x = 282.41

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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.