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Finding the Fourth Proportional to 338.52, 505.62 and 289.92

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Solution

The fourth proportional to 338.52, 505.62 and 289.92 is: 433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 505.62 = 289.92 : x
  2. Step 2: Convert to fraction form
    338.52/505.62 = 289.92/x
  3. Step 3: Cross multiply
    338.52x = 505.62 × 289.92
  4. Step 4: Simplify right side
    338.52x = 146,589.35
  5. Step 5: Solve for x
    x = 146,589.35/338.52
  6. Step 6: Final answer
    x = 433.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.