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Finding the Fourth Proportional to 362.73, 499.59 and 313.59

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Solution

The fourth proportional to 362.73, 499.59 and 313.59 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.73 : 499.59 = 313.59 : x
  2. Step 2: Convert to fraction form
    362.73/499.59 = 313.59/x
  3. Step 3: Cross multiply
    362.73x = 499.59 × 313.59
  4. Step 4: Simplify right side
    362.73x = 156,666.43
  5. Step 5: Solve for x
    x = 156,666.43/362.73
  6. Step 6: Final answer
    x = 431.91

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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.