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Finding the Fourth Proportional to 407.03, 608.11 and 334.13

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Solution

The fourth proportional to 407.03, 608.11 and 334.13 is: 499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.03 : 608.11 = 334.13 : x
  2. Step 2: Convert to fraction form
    407.03/608.11 = 334.13/x
  3. Step 3: Cross multiply
    407.03x = 608.11 × 334.13
  4. Step 4: Simplify right side
    407.03x = 203,183.92
  5. Step 5: Solve for x
    x = 203,183.92/407.03
  6. Step 6: Final answer
    x = 499.19

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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.