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Finding the Fourth Proportional to 218.03, 300.74 and 178.70

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Solution

The fourth proportional to 218.03, 300.74 and 178.70 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.03 : 300.74 = 178.70 : x
  2. Step 2: Convert to fraction form
    218.03/300.74 = 178.70/x
  3. Step 3: Cross multiply
    218.03x = 300.74 × 178.70
  4. Step 4: Simplify right side
    218.03x = 53,739.84
  5. Step 5: Solve for x
    x = 53,739.84/218.03
  6. Step 6: Final answer
    x = 246.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.