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Finding the Fourth Proportional to 338.02, 506.49 and 145.24

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Solution

The fourth proportional to 338.02, 506.49 and 145.24 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 506.49 = 145.24 : x
  2. Step 2: Convert to fraction form
    338.02/506.49 = 145.24/x
  3. Step 3: Cross multiply
    338.02x = 506.49 × 145.24
  4. Step 4: Simplify right side
    338.02x = 73,562.61
  5. Step 5: Solve for x
    x = 73,562.61/338.02
  6. Step 6: Final answer
    x = 217.63

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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.