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Finding the Fourth Proportional to 492.66, 738.99 and 371.48

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Solution

The fourth proportional to 492.66, 738.99 and 371.48 is: 557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.66 : 738.99 = 371.48 : x
  2. Step 2: Convert to fraction form
    492.66/738.99 = 371.48/x
  3. Step 3: Cross multiply
    492.66x = 738.99 × 371.48
  4. Step 4: Simplify right side
    492.66x = 274,516.31
  5. Step 5: Solve for x
    x = 274,516.31/492.66
  6. Step 6: Final answer
    x = 557.21

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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.