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Finding the Fourth Proportional to 444.30, 666.72 and 261.60

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Solution

The fourth proportional to 444.30, 666.72 and 261.60 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.30 : 666.72 = 261.60 : x
  2. Step 2: Convert to fraction form
    444.30/666.72 = 261.60/x
  3. Step 3: Cross multiply
    444.30x = 666.72 × 261.60
  4. Step 4: Simplify right side
    444.30x = 174,413.95
  5. Step 5: Solve for x
    x = 174,413.95/444.30
  6. Step 6: Final answer
    x = 392.56

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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.