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Finding the Fourth Proportional to 338.64, 508.06 and 107.55

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Solution

The fourth proportional to 338.64, 508.06 and 107.55 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 508.06 = 107.55 : x
  2. Step 2: Convert to fraction form
    338.64/508.06 = 107.55/x
  3. Step 3: Cross multiply
    338.64x = 508.06 × 107.55
  4. Step 4: Simplify right side
    338.64x = 54,639.31
  5. Step 5: Solve for x
    x = 54,639.31/338.64
  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.