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Finding the Fourth Proportional to 424.45, 635.12 and 269.65

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Solution

The fourth proportional to 424.45, 635.12 and 269.65 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.45 : 635.12 = 269.65 : x
  2. Step 2: Convert to fraction form
    424.45/635.12 = 269.65/x
  3. Step 3: Cross multiply
    424.45x = 635.12 × 269.65
  4. Step 4: Simplify right side
    424.45x = 171,260.11
  5. Step 5: Solve for x
    x = 171,260.11/424.45
  6. Step 6: Final answer
    x = 403.49

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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.