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Finding the Fourth Proportional to 322.55, 483.77 and 91.46

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Solution

The fourth proportional to 322.55, 483.77 and 91.46 is: 137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.55 : 483.77 = 91.46 : x
  2. Step 2: Convert to fraction form
    322.55/483.77 = 91.46/x
  3. Step 3: Cross multiply
    322.55x = 483.77 × 91.46
  4. Step 4: Simplify right side
    322.55x = 44,242.73
  5. Step 5: Solve for x
    x = 44,242.73/322.55
  6. Step 6: Final answer
    x = 137.17

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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.