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Finding the Fourth Proportional to 299.13, 446.54 and 262.68

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Solution

The fourth proportional to 299.13, 446.54 and 262.68 is: 392.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.13 : 446.54 = 262.68 : x
  2. Step 2: Convert to fraction form
    299.13/446.54 = 262.68/x
  3. Step 3: Cross multiply
    299.13x = 446.54 × 262.68
  4. Step 4: Simplify right side
    299.13x = 117,295.81
  5. Step 5: Solve for x
    x = 117,295.81/299.13
  6. Step 6: Final answer
    x = 392.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.