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Finding the Fourth Proportional to 322.98, 483.55 and 301.11

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Solution

The fourth proportional to 322.98, 483.55 and 301.11 is: 450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 483.55 = 301.11 : x
  2. Step 2: Convert to fraction form
    322.98/483.55 = 301.11/x
  3. Step 3: Cross multiply
    322.98x = 483.55 × 301.11
  4. Step 4: Simplify right side
    322.98x = 145,601.74
  5. Step 5: Solve for x
    x = 145,601.74/322.98
  6. Step 6: Final answer
    x = 450.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.