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Finding the Fourth Proportional to 444.06, 666.53 and 297.79

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Solution

The fourth proportional to 444.06, 666.53 and 297.79 is: 446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.06 : 666.53 = 297.79 : x
  2. Step 2: Convert to fraction form
    444.06/666.53 = 297.79/x
  3. Step 3: Cross multiply
    444.06x = 666.53 × 297.79
  4. Step 4: Simplify right side
    444.06x = 198,485.97
  5. Step 5: Solve for x
    x = 198,485.97/444.06
  6. Step 6: Final answer
    x = 446.98

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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.