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Finding the Fourth Proportional to 231.07, 348.16 and 191.38

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Solution

The fourth proportional to 231.07, 348.16 and 191.38 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.07 : 348.16 = 191.38 : x
  2. Step 2: Convert to fraction form
    231.07/348.16 = 191.38/x
  3. Step 3: Cross multiply
    231.07x = 348.16 × 191.38
  4. Step 4: Simplify right side
    231.07x = 66,630.86
  5. Step 5: Solve for x
    x = 66,630.86/231.07
  6. Step 6: Final answer
    x = 288.36

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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.