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Finding the Fourth Proportional to 492.50, 737.81 and 306.85

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Solution

The fourth proportional to 492.50, 737.81 and 306.85 is: 459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 737.81 = 306.85 : x
  2. Step 2: Convert to fraction form
    492.50/737.81 = 306.85/x
  3. Step 3: Cross multiply
    492.50x = 737.81 × 306.85
  4. Step 4: Simplify right side
    492.50x = 226,397.00
  5. Step 5: Solve for x
    x = 226,397.00/492.50
  6. Step 6: Final answer
    x = 459.69

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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.