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Finding the Fourth Proportional to 293.89, 405.38 and 175.78

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Solution

The fourth proportional to 293.89, 405.38 and 175.78 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.89 : 405.38 = 175.78 : x
  2. Step 2: Convert to fraction form
    293.89/405.38 = 175.78/x
  3. Step 3: Cross multiply
    293.89x = 405.38 × 175.78
  4. Step 4: Simplify right side
    293.89x = 71,257.70
  5. Step 5: Solve for x
    x = 71,257.70/293.89
  6. Step 6: Final answer
    x = 242.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.