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Finding the Fourth Proportional to 218.00, 328.49 and 180.33

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Solution

The fourth proportional to 218.00, 328.49 and 180.33 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.00 : 328.49 = 180.33 : x
  2. Step 2: Convert to fraction form
    218.00/328.49 = 180.33/x
  3. Step 3: Cross multiply
    218.00x = 328.49 × 180.33
  4. Step 4: Simplify right side
    218.00x = 59,235.84
  5. Step 5: Solve for x
    x = 59,235.84/218.00
  6. Step 6: Final answer
    x = 271.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.