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Finding the Fourth Proportional to 492.50, 737.30 and 337.20

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Solution

The fourth proportional to 492.50, 737.30 and 337.20 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 737.30 = 337.20 : x
  2. Step 2: Convert to fraction form
    492.50/737.30 = 337.20/x
  3. Step 3: Cross multiply
    492.50x = 737.30 × 337.20
  4. Step 4: Simplify right side
    492.50x = 248,617.56
  5. Step 5: Solve for x
    x = 248,617.56/492.50
  6. Step 6: Final answer
    x = 504.81

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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.