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Finding the Fourth Proportional to 480.19, 720.48 and 206.21

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Solution

The fourth proportional to 480.19, 720.48 and 206.21 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.19 : 720.48 = 206.21 : x
  2. Step 2: Convert to fraction form
    480.19/720.48 = 206.21/x
  3. Step 3: Cross multiply
    480.19x = 720.48 × 206.21
  4. Step 4: Simplify right side
    480.19x = 148,570.18
  5. Step 5: Solve for x
    x = 148,570.18/480.19
  6. Step 6: Final answer
    x = 309.40

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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.