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Finding the Fourth Proportional to 492.93, 738.90 and 330.24

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Solution

The fourth proportional to 492.93, 738.90 and 330.24 is: 495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 738.90 = 330.24 : x
  2. Step 2: Convert to fraction form
    492.93/738.90 = 330.24/x
  3. Step 3: Cross multiply
    492.93x = 738.90 × 330.24
  4. Step 4: Simplify right side
    492.93x = 244,014.34
  5. Step 5: Solve for x
    x = 244,014.34/492.93
  6. Step 6: Final answer
    x = 495.03

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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.