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Finding the Fourth Proportional to 322.98, 484.37 and 114.69

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Solution

The fourth proportional to 322.98, 484.37 and 114.69 is: 172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 484.37 = 114.69 : x
  2. Step 2: Convert to fraction form
    322.98/484.37 = 114.69/x
  3. Step 3: Cross multiply
    322.98x = 484.37 × 114.69
  4. Step 4: Simplify right side
    322.98x = 55,551.82
  5. Step 5: Solve for x
    x = 55,551.82/322.98
  6. Step 6: Final answer
    x = 172.00

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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.