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Finding the Fourth Proportional to 424.65, 636.61 and 190.21

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Solution

The fourth proportional to 424.65, 636.61 and 190.21 is: 285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.65 : 636.61 = 190.21 : x
  2. Step 2: Convert to fraction form
    424.65/636.61 = 190.21/x
  3. Step 3: Cross multiply
    424.65x = 636.61 × 190.21
  4. Step 4: Simplify right side
    424.65x = 121,087.52
  5. Step 5: Solve for x
    x = 121,087.52/424.65
  6. Step 6: Final answer
    x = 285.15

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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.