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Finding the Fourth Proportional to 323.19, 483.63 and 280.01

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Solution

The fourth proportional to 323.19, 483.63 and 280.01 is: 419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 483.63 = 280.01 : x
  2. Step 2: Convert to fraction form
    323.19/483.63 = 280.01/x
  3. Step 3: Cross multiply
    323.19x = 483.63 × 280.01
  4. Step 4: Simplify right side
    323.19x = 135,418.82
  5. Step 5: Solve for x
    x = 135,418.82/323.19
  6. Step 6: Final answer
    x = 419.01

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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.