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Finding the Fourth Proportional to 265.90, 396.92 and 233.50

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Solution

The fourth proportional to 265.90, 396.92 and 233.50 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 396.92 = 233.50 : x
  2. Step 2: Convert to fraction form
    265.90/396.92 = 233.50/x
  3. Step 3: Cross multiply
    265.90x = 396.92 × 233.50
  4. Step 4: Simplify right side
    265.90x = 92,680.82
  5. Step 5: Solve for x
    x = 92,680.82/265.90
  6. Step 6: Final answer
    x = 348.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.