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Finding the Fourth Proportional to 338.25, 507.24 and 164.78

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Solution

The fourth proportional to 338.25, 507.24 and 164.78 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 507.24 = 164.78 : x
  2. Step 2: Convert to fraction form
    338.25/507.24 = 164.78/x
  3. Step 3: Cross multiply
    338.25x = 507.24 × 164.78
  4. Step 4: Simplify right side
    338.25x = 83,580.47
  5. Step 5: Solve for x
    x = 83,580.47/338.25
  6. Step 6: Final answer
    x = 247.10

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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.