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Finding the Fourth Proportional to 499.39, 689.52 and 302.97

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Solution

The fourth proportional to 499.39, 689.52 and 302.97 is: 418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.39 : 689.52 = 302.97 : x
  2. Step 2: Convert to fraction form
    499.39/689.52 = 302.97/x
  3. Step 3: Cross multiply
    499.39x = 689.52 × 302.97
  4. Step 4: Simplify right side
    499.39x = 208,900.43
  5. Step 5: Solve for x
    x = 208,900.43/499.39
  6. Step 6: Final answer
    x = 418.31

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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.