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Finding the Fourth Proportional to 296.72, 444.80 and 166.79

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Solution

The fourth proportional to 296.72, 444.80 and 166.79 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.72 : 444.80 = 166.79 : x
  2. Step 2: Convert to fraction form
    296.72/444.80 = 166.79/x
  3. Step 3: Cross multiply
    296.72x = 444.80 × 166.79
  4. Step 4: Simplify right side
    296.72x = 74,185.13
  5. Step 5: Solve for x
    x = 74,185.13/296.72
  6. Step 6: Final answer
    x = 250.02

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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.