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Finding the Fourth Proportional to 338.99, 508.51 and 92.24

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Solution

The fourth proportional to 338.99, 508.51 and 92.24 is: 138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.99 : 508.51 = 92.24 : x
  2. Step 2: Convert to fraction form
    338.99/508.51 = 92.24/x
  3. Step 3: Cross multiply
    338.99x = 508.51 × 92.24
  4. Step 4: Simplify right side
    338.99x = 46,902.42
  5. Step 5: Solve for x
    x = 46,902.42/338.99
  6. Step 6: Final answer
    x = 138.36

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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.