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Finding the Fourth Proportional to 338.26, 507.41 and 94.77

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Solution

The fourth proportional to 338.26, 507.41 and 94.77 is: 142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.26 : 507.41 = 94.77 : x
  2. Step 2: Convert to fraction form
    338.26/507.41 = 94.77/x
  3. Step 3: Cross multiply
    338.26x = 507.41 × 94.77
  4. Step 4: Simplify right side
    338.26x = 48,087.25
  5. Step 5: Solve for x
    x = 48,087.25/338.26
  6. Step 6: Final answer
    x = 142.16

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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.