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Finding the Fourth Proportional to 293.50, 438.13 and 252.46

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Solution

The fourth proportional to 293.50, 438.13 and 252.46 is: 376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.50 : 438.13 = 252.46 : x
  2. Step 2: Convert to fraction form
    293.50/438.13 = 252.46/x
  3. Step 3: Cross multiply
    293.50x = 438.13 × 252.46
  4. Step 4: Simplify right side
    293.50x = 110,610.30
  5. Step 5: Solve for x
    x = 110,610.30/293.50
  6. Step 6: Final answer
    x = 376.87

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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.