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Finding the Fourth Proportional to 407.22, 611.13 and 299.28

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Solution

The fourth proportional to 407.22, 611.13 and 299.28 is: 449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 611.13 = 299.28 : x
  2. Step 2: Convert to fraction form
    407.22/611.13 = 299.28/x
  3. Step 3: Cross multiply
    407.22x = 611.13 × 299.28
  4. Step 4: Simplify right side
    407.22x = 182,898.99
  5. Step 5: Solve for x
    x = 182,898.99/407.22
  6. Step 6: Final answer
    x = 449.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.