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Finding the Fourth Proportional to 454.67, 626.42 and 299.15

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Solution

The fourth proportional to 454.67, 626.42 and 299.15 is: 412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.67 : 626.42 = 299.15 : x
  2. Step 2: Convert to fraction form
    454.67/626.42 = 299.15/x
  3. Step 3: Cross multiply
    454.67x = 626.42 × 299.15
  4. Step 4: Simplify right side
    454.67x = 187,391.16
  5. Step 5: Solve for x
    x = 187,391.16/454.67
  6. Step 6: Final answer
    x = 412.15

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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.