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Finding the Fourth Proportional to 189.22, 259.17 and 178.15

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Solution

The fourth proportional to 189.22, 259.17 and 178.15 is: 244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 259.17 = 178.15 : x
  2. Step 2: Convert to fraction form
    189.22/259.17 = 178.15/x
  3. Step 3: Cross multiply
    189.22x = 259.17 × 178.15
  4. Step 4: Simplify right side
    189.22x = 46,171.14
  5. Step 5: Solve for x
    x = 46,171.14/189.22
  6. Step 6: Final answer
    x = 244.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.