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Finding the Fourth Proportional to 209.31, 313.58 and 187.92

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Solution

The fourth proportional to 209.31, 313.58 and 187.92 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.31 : 313.58 = 187.92 : x
  2. Step 2: Convert to fraction form
    209.31/313.58 = 187.92/x
  3. Step 3: Cross multiply
    209.31x = 313.58 × 187.92
  4. Step 4: Simplify right side
    209.31x = 58,927.01
  5. Step 5: Solve for x
    x = 58,927.01/209.31
  6. Step 6: Final answer
    x = 281.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.