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Finding the Fourth Proportional to 499.86, 689.84 and 303.36

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Solution

The fourth proportional to 499.86, 689.84 and 303.36 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.86 : 689.84 = 303.36 : x
  2. Step 2: Convert to fraction form
    499.86/689.84 = 303.36/x
  3. Step 3: Cross multiply
    499.86x = 689.84 × 303.36
  4. Step 4: Simplify right side
    499.86x = 209,269.86
  5. Step 5: Solve for x
    x = 209,269.86/499.86
  6. Step 6: Final answer
    x = 418.66

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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.