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Finding the Fourth Proportional to 424.01, 635.99 and 192.84

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Solution

The fourth proportional to 424.01, 635.99 and 192.84 is: 289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.01 : 635.99 = 192.84 : x
  2. Step 2: Convert to fraction form
    424.01/635.99 = 192.84/x
  3. Step 3: Cross multiply
    424.01x = 635.99 × 192.84
  4. Step 4: Simplify right side
    424.01x = 122,644.31
  5. Step 5: Solve for x
    x = 122,644.31/424.01
  6. Step 6: Final answer
    x = 289.25

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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.