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Finding the Fourth Proportional to 263.46, 394.56 and 155.32

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Solution

The fourth proportional to 263.46, 394.56 and 155.32 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 394.56 = 155.32 : x
  2. Step 2: Convert to fraction form
    263.46/394.56 = 155.32/x
  3. Step 3: Cross multiply
    263.46x = 394.56 × 155.32
  4. Step 4: Simplify right side
    263.46x = 61,283.06
  5. Step 5: Solve for x
    x = 61,283.06/263.46
  6. Step 6: Final answer
    x = 232.61

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Why These Related Problems?

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