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Finding the Fourth Proportional to 362.75, 500.72 and 307.80

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Solution

The fourth proportional to 362.75, 500.72 and 307.80 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 500.72 = 307.80 : x
  2. Step 2: Convert to fraction form
    362.75/500.72 = 307.80/x
  3. Step 3: Cross multiply
    362.75x = 500.72 × 307.80
  4. Step 4: Simplify right side
    362.75x = 154,120.08
  5. Step 5: Solve for x
    x = 154,120.08/362.75
  6. Step 6: Final answer
    x = 424.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.