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Finding the Fourth Proportional to 338.40, 507.53 and 107.25

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Solution

The fourth proportional to 338.40, 507.53 and 107.25 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 507.53 = 107.25 : x
  2. Step 2: Convert to fraction form
    338.40/507.53 = 107.25/x
  3. Step 3: Cross multiply
    338.40x = 507.53 × 107.25
  4. Step 4: Simplify right side
    338.40x = 54,431.10
  5. Step 5: Solve for x
    x = 54,431.10/338.40
  6. Step 6: Final answer
    x = 160.85

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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.