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Finding the Fourth Proportional to 338.25, 506.32 and 261.01

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Solution

The fourth proportional to 338.25, 506.32 and 261.01 is: 390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 506.32 = 261.01 : x
  2. Step 2: Convert to fraction form
    338.25/506.32 = 261.01/x
  3. Step 3: Cross multiply
    338.25x = 506.32 × 261.01
  4. Step 4: Simplify right side
    338.25x = 132,154.58
  5. Step 5: Solve for x
    x = 132,154.58/338.25
  6. Step 6: Final answer
    x = 390.70

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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.