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Finding the Fourth Proportional to 483.19, 724.87 and 154.20

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Solution

The fourth proportional to 483.19, 724.87 and 154.20 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.19 : 724.87 = 154.20 : x
  2. Step 2: Convert to fraction form
    483.19/724.87 = 154.20/x
  3. Step 3: Cross multiply
    483.19x = 724.87 × 154.20
  4. Step 4: Simplify right side
    483.19x = 111,771.90
  5. Step 5: Solve for x
    x = 111,771.90/483.19
  6. Step 6: Final answer
    x = 231.32

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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.