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Finding the Fourth Proportional to 442.72, 662.40 and 284.44

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Solution

The fourth proportional to 442.72, 662.40 and 284.44 is: 425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.72 : 662.40 = 284.44 : x
  2. Step 2: Convert to fraction form
    442.72/662.40 = 284.44/x
  3. Step 3: Cross multiply
    442.72x = 662.40 × 284.44
  4. Step 4: Simplify right side
    442.72x = 188,413.06
  5. Step 5: Solve for x
    x = 188,413.06/442.72
  6. Step 6: Final answer
    x = 425.58

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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.