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Finding the Fourth Proportional to 338.40, 507.33 and 311.40

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Solution

The fourth proportional to 338.40, 507.33 and 311.40 is: 466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 507.33 = 311.40 : x
  2. Step 2: Convert to fraction form
    338.40/507.33 = 311.40/x
  3. Step 3: Cross multiply
    338.40x = 507.33 × 311.40
  4. Step 4: Simplify right side
    338.40x = 157,982.56
  5. Step 5: Solve for x
    x = 157,982.56/338.40
  6. Step 6: Final answer
    x = 466.85

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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.