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Finding the Fourth Proportional to 479.48, 720.20 and 296.96

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Solution

The fourth proportional to 479.48, 720.20 and 296.96 is: 446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.48 : 720.20 = 296.96 : x
  2. Step 2: Convert to fraction form
    479.48/720.20 = 296.96/x
  3. Step 3: Cross multiply
    479.48x = 720.20 × 296.96
  4. Step 4: Simplify right side
    479.48x = 213,870.59
  5. Step 5: Solve for x
    x = 213,870.59/479.48
  6. Step 6: Final answer
    x = 446.05

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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.