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Finding the Fourth Proportional to 499.24, 688.99 and 300.10

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Solution

The fourth proportional to 499.24, 688.99 and 300.10 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 688.99 = 300.10 : x
  2. Step 2: Convert to fraction form
    499.24/688.99 = 300.10/x
  3. Step 3: Cross multiply
    499.24x = 688.99 × 300.10
  4. Step 4: Simplify right side
    499.24x = 206,766.20
  5. Step 5: Solve for x
    x = 206,766.20/499.24
  6. Step 6: Final answer
    x = 414.16

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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.