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Finding the Fourth Proportional to 263.05, 394.12 and 160.09

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Solution

The fourth proportional to 263.05, 394.12 and 160.09 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.05 : 394.12 = 160.09 : x
  2. Step 2: Convert to fraction form
    263.05/394.12 = 160.09/x
  3. Step 3: Cross multiply
    263.05x = 394.12 × 160.09
  4. Step 4: Simplify right side
    263.05x = 63,094.67
  5. Step 5: Solve for x
    x = 63,094.67/263.05
  6. Step 6: Final answer
    x = 239.86

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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.