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Finding the Fourth Proportional to 499.95, 690.23 and 323.22

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Solution

The fourth proportional to 499.95, 690.23 and 323.22 is: 446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.95 : 690.23 = 323.22 : x
  2. Step 2: Convert to fraction form
    499.95/690.23 = 323.22/x
  3. Step 3: Cross multiply
    499.95x = 690.23 × 323.22
  4. Step 4: Simplify right side
    499.95x = 223,096.14
  5. Step 5: Solve for x
    x = 223,096.14/499.95
  6. Step 6: Final answer
    x = 446.24

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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.