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Finding the Fourth Proportional to 322.57, 483.85 and 91.48

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Solution

The fourth proportional to 322.57, 483.85 and 91.48 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 483.85 = 91.48 : x
  2. Step 2: Convert to fraction form
    322.57/483.85 = 91.48/x
  3. Step 3: Cross multiply
    322.57x = 483.85 × 91.48
  4. Step 4: Simplify right side
    322.57x = 44,262.60
  5. Step 5: Solve for x
    x = 44,262.60/322.57
  6. Step 6: Final answer
    x = 137.22

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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.