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Finding the Fourth Proportional to 338.40, 506.15 and 295.20

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Solution

The fourth proportional to 338.40, 506.15 and 295.20 is: 441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 506.15 = 295.20 : x
  2. Step 2: Convert to fraction form
    338.40/506.15 = 295.20/x
  3. Step 3: Cross multiply
    338.40x = 506.15 × 295.20
  4. Step 4: Simplify right side
    338.40x = 149,415.48
  5. Step 5: Solve for x
    x = 149,415.48/338.40
  6. Step 6: Final answer
    x = 441.54

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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.