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Finding the Fourth Proportional to 494.39, 740.36 and 299.48

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Solution

The fourth proportional to 494.39, 740.36 and 299.48 is: 448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 740.36 = 299.48 : x
  2. Step 2: Convert to fraction form
    494.39/740.36 = 299.48/x
  3. Step 3: Cross multiply
    494.39x = 740.36 × 299.48
  4. Step 4: Simplify right side
    494.39x = 221,717.81
  5. Step 5: Solve for x
    x = 221,717.81/494.39
  6. Step 6: Final answer
    x = 448.47

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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.