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Finding the Fourth Proportional to 480.53, 721.34 and 192.17

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Solution

The fourth proportional to 480.53, 721.34 and 192.17 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.53 : 721.34 = 192.17 : x
  2. Step 2: Convert to fraction form
    480.53/721.34 = 192.17/x
  3. Step 3: Cross multiply
    480.53x = 721.34 × 192.17
  4. Step 4: Simplify right side
    480.53x = 138,619.91
  5. Step 5: Solve for x
    x = 138,619.91/480.53
  6. Step 6: Final answer
    x = 288.47

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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.