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Finding the Fourth Proportional to 362.26, 499.63 and 318.50

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Solution

The fourth proportional to 362.26, 499.63 and 318.50 is: 439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.26 : 499.63 = 318.50 : x
  2. Step 2: Convert to fraction form
    362.26/499.63 = 318.50/x
  3. Step 3: Cross multiply
    362.26x = 499.63 × 318.50
  4. Step 4: Simplify right side
    362.26x = 159,132.16
  5. Step 5: Solve for x
    x = 159,132.16/362.26
  6. Step 6: Final answer
    x = 439.28

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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.