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Finding the Fourth Proportional to 338.10, 507.39 and 164.73

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Solution

The fourth proportional to 338.10, 507.39 and 164.73 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.10 : 507.39 = 164.73 : x
  2. Step 2: Convert to fraction form
    338.10/507.39 = 164.73/x
  3. Step 3: Cross multiply
    338.10x = 507.39 × 164.73
  4. Step 4: Simplify right side
    338.10x = 83,582.35
  5. Step 5: Solve for x
    x = 83,582.35/338.10
  6. Step 6: Final answer
    x = 247.21

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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.