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Finding the Fourth Proportional to 231.16, 347.10 and 209.92

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Solution

The fourth proportional to 231.16, 347.10 and 209.92 is: 315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 347.10 = 209.92 : x
  2. Step 2: Convert to fraction form
    231.16/347.10 = 209.92/x
  3. Step 3: Cross multiply
    231.16x = 347.10 × 209.92
  4. Step 4: Simplify right side
    231.16x = 72,863.23
  5. Step 5: Solve for x
    x = 72,863.23/231.16
  6. Step 6: Final answer
    x = 315.21

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