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Finding the Fourth Proportional to 231.66, 317.93 and 209.79

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Solution

The fourth proportional to 231.66, 317.93 and 209.79 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 317.93 = 209.79 : x
  2. Step 2: Convert to fraction form
    231.66/317.93 = 209.79/x
  3. Step 3: Cross multiply
    231.66x = 317.93 × 209.79
  4. Step 4: Simplify right side
    231.66x = 66,697.49
  5. Step 5: Solve for x
    x = 66,697.49/231.66
  6. Step 6: Final answer
    x = 287.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.