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Finding the Fourth Proportional to 231.52, 348.48 and 193.28

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Solution

The fourth proportional to 231.52, 348.48 and 193.28 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.52 : 348.48 = 193.28 : x
  2. Step 2: Convert to fraction form
    231.52/348.48 = 193.28/x
  3. Step 3: Cross multiply
    231.52x = 348.48 × 193.28
  4. Step 4: Simplify right side
    231.52x = 67,354.21
  5. Step 5: Solve for x
    x = 67,354.21/231.52
  6. Step 6: Final answer
    x = 290.92

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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.