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Finding the Fourth Proportional to 218.70, 330.08 and 218.70

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Solution

The fourth proportional to 218.70, 330.08 and 218.70 is: 330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 330.08 = 218.70 : x
  2. Step 2: Convert to fraction form
    218.70/330.08 = 218.70/x
  3. Step 3: Cross multiply
    218.70x = 330.08 × 218.70
  4. Step 4: Simplify right side
    218.70x = 72,187.40
  5. Step 5: Solve for x
    x = 72,187.40/218.70
  6. Step 6: Final answer
    x = 330.08

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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.