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Finding the Fourth Proportional to 492.52, 738.39 and 338.05

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Solution

The fourth proportional to 492.52, 738.39 and 338.05 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.52 : 738.39 = 338.05 : x
  2. Step 2: Convert to fraction form
    492.52/738.39 = 338.05/x
  3. Step 3: Cross multiply
    492.52x = 738.39 × 338.05
  4. Step 4: Simplify right side
    492.52x = 249,612.74
  5. Step 5: Solve for x
    x = 249,612.74/492.52
  6. Step 6: Final answer
    x = 506.81

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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.