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Finding the Fourth Proportional to 263.58, 394.87 and 160.56

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Solution

The fourth proportional to 263.58, 394.87 and 160.56 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.58 : 394.87 = 160.56 : x
  2. Step 2: Convert to fraction form
    263.58/394.87 = 160.56/x
  3. Step 3: Cross multiply
    263.58x = 394.87 × 160.56
  4. Step 4: Simplify right side
    263.58x = 63,399.52
  5. Step 5: Solve for x
    x = 63,399.52/263.58
  6. Step 6: Final answer
    x = 240.53

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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.