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Finding the Fourth Proportional to 362.12, 499.50 and 237.78

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Solution

The fourth proportional to 362.12, 499.50 and 237.78 is: 327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 499.50 = 237.78 : x
  2. Step 2: Convert to fraction form
    362.12/499.50 = 237.78/x
  3. Step 3: Cross multiply
    362.12x = 499.50 × 237.78
  4. Step 4: Simplify right side
    362.12x = 118,771.11
  5. Step 5: Solve for x
    x = 118,771.11/362.12
  6. Step 6: Final answer
    x = 327.99

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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.