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Finding the Fourth Proportional to 208.19, 313.74 and 187.65

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Solution

The fourth proportional to 208.19, 313.74 and 187.65 is: 282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 313.74 = 187.65 : x
  2. Step 2: Convert to fraction form
    208.19/313.74 = 187.65/x
  3. Step 3: Cross multiply
    208.19x = 313.74 × 187.65
  4. Step 4: Simplify right side
    208.19x = 58,873.31
  5. Step 5: Solve for x
    x = 58,873.31/208.19
  6. Step 6: Final answer
    x = 282.79

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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.