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Finding the Fourth Proportional to 499.21, 689.21 and 366.32

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Solution

The fourth proportional to 499.21, 689.21 and 366.32 is: 505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.21 : 689.21 = 366.32 : x
  2. Step 2: Convert to fraction form
    499.21/689.21 = 366.32/x
  3. Step 3: Cross multiply
    499.21x = 689.21 × 366.32
  4. Step 4: Simplify right side
    499.21x = 252,472.67
  5. Step 5: Solve for x
    x = 252,472.67/499.21
  6. Step 6: Final answer
    x = 505.74

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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.