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Finding the Fourth Proportional to 322.91, 483.93 and 147.08

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Solution

The fourth proportional to 322.91, 483.93 and 147.08 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.91 : 483.93 = 147.08 : x
  2. Step 2: Convert to fraction form
    322.91/483.93 = 147.08/x
  3. Step 3: Cross multiply
    322.91x = 483.93 × 147.08
  4. Step 4: Simplify right side
    322.91x = 71,177.63
  5. Step 5: Solve for x
    x = 71,177.63/322.91
  6. Step 6: Final answer
    x = 220.43

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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.