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Finding the Fourth Proportional to 494.11, 740.17 and 299.15

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Solution

The fourth proportional to 494.11, 740.17 and 299.15 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.11 : 740.17 = 299.15 : x
  2. Step 2: Convert to fraction form
    494.11/740.17 = 299.15/x
  3. Step 3: Cross multiply
    494.11x = 740.17 × 299.15
  4. Step 4: Simplify right side
    494.11x = 221,421.86
  5. Step 5: Solve for x
    x = 221,421.86/494.11
  6. Step 6: Final answer
    x = 448.12

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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.