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Finding the Fourth Proportional to 479.98, 720.06 and 206.20

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Solution

The fourth proportional to 479.98, 720.06 and 206.20 is: 309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.98 : 720.06 = 206.20 : x
  2. Step 2: Convert to fraction form
    479.98/720.06 = 206.20/x
  3. Step 3: Cross multiply
    479.98x = 720.06 × 206.20
  4. Step 4: Simplify right side
    479.98x = 148,476.37
  5. Step 5: Solve for x
    x = 148,476.37/479.98
  6. Step 6: Final answer
    x = 309.34

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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.