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Finding the Fourth Proportional to 483.01, 723.94 and 205.20

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Solution

The fourth proportional to 483.01, 723.94 and 205.20 is: 307.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.01 : 723.94 = 205.20 : x
  2. Step 2: Convert to fraction form
    483.01/723.94 = 205.20/x
  3. Step 3: Cross multiply
    483.01x = 723.94 × 205.20
  4. Step 4: Simplify right side
    483.01x = 148,552.49
  5. Step 5: Solve for x
    x = 148,552.49/483.01
  6. Step 6: Final answer
    x = 307.56

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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.