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Finding the Fourth Proportional to 362.60, 499.38 and 310.76

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Solution

The fourth proportional to 362.60, 499.38 and 310.76 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 499.38 = 310.76 : x
  2. Step 2: Convert to fraction form
    362.60/499.38 = 310.76/x
  3. Step 3: Cross multiply
    362.60x = 499.38 × 310.76
  4. Step 4: Simplify right side
    362.60x = 155,187.33
  5. Step 5: Solve for x
    x = 155,187.33/362.60
  6. Step 6: Final answer
    x = 427.98

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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.