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Finding the Fourth Proportional to 424.84, 635.98 and 280.20

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Solution

The fourth proportional to 424.84, 635.98 and 280.20 is: 419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.84 : 635.98 = 280.20 : x
  2. Step 2: Convert to fraction form
    424.84/635.98 = 280.20/x
  3. Step 3: Cross multiply
    424.84x = 635.98 × 280.20
  4. Step 4: Simplify right side
    424.84x = 178,201.60
  5. Step 5: Solve for x
    x = 178,201.60/424.84
  6. Step 6: Final answer
    x = 419.46

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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.