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Finding the Fourth Proportional to 338.66, 508.03 and 107.56

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Solution

The fourth proportional to 338.66, 508.03 and 107.56 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.66 : 508.03 = 107.56 : x
  2. Step 2: Convert to fraction form
    338.66/508.03 = 107.56/x
  3. Step 3: Cross multiply
    338.66x = 508.03 × 107.56
  4. Step 4: Simplify right side
    338.66x = 54,643.71
  5. Step 5: Solve for x
    x = 54,643.71/338.66
  6. Step 6: Final answer
    x = 161.35

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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.