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Finding the Fourth Proportional to 442.20, 607.49 and 396.17

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Solution

The fourth proportional to 442.20, 607.49 and 396.17 is: 544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 607.49 = 396.17 : x
  2. Step 2: Convert to fraction form
    442.20/607.49 = 396.17/x
  3. Step 3: Cross multiply
    442.20x = 607.49 × 396.17
  4. Step 4: Simplify right side
    442.20x = 240,667.27
  5. Step 5: Solve for x
    x = 240,667.27/442.20
  6. Step 6: Final answer
    x = 544.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.