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Finding the Fourth Proportional to 338.76, 506.93 and 293.27

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Solution

The fourth proportional to 338.76, 506.93 and 293.27 is: 438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.76 : 506.93 = 293.27 : x
  2. Step 2: Convert to fraction form
    338.76/506.93 = 293.27/x
  3. Step 3: Cross multiply
    338.76x = 506.93 × 293.27
  4. Step 4: Simplify right side
    338.76x = 148,663.36
  5. Step 5: Solve for x
    x = 148,663.36/338.76
  6. Step 6: Final answer
    x = 438.85

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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.