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Finding the Fourth Proportional to 189.22, 261 and 111.60

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Solution

The fourth proportional to 189.22, 261 and 111.60 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 261 = 111.60 : x
  2. Step 2: Convert to fraction form
    189.22/261 = 111.60/x
  3. Step 3: Cross multiply
    189.22x = 261 × 111.60
  4. Step 4: Simplify right side
    189.22x = 29,127.60
  5. Step 5: Solve for x
    x = 29,127.60/189.22
  6. Step 6: Final answer
    x = 153.94

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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.