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Finding the Fourth Proportional to 480.34, 720.10 and 206.63

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Solution

The fourth proportional to 480.34, 720.10 and 206.63 is: 309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.34 : 720.10 = 206.63 : x
  2. Step 2: Convert to fraction form
    480.34/720.10 = 206.63/x
  3. Step 3: Cross multiply
    480.34x = 720.10 × 206.63
  4. Step 4: Simplify right side
    480.34x = 148,794.26
  5. Step 5: Solve for x
    x = 148,794.26/480.34
  6. Step 6: Final answer
    x = 309.77

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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.