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Finding the Fourth Proportional to 189.22, 261.13 and 111.58

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Solution

The fourth proportional to 189.22, 261.13 and 111.58 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 261.13 = 111.58 : x
  2. Step 2: Convert to fraction form
    189.22/261.13 = 111.58/x
  3. Step 3: Cross multiply
    189.22x = 261.13 × 111.58
  4. Step 4: Simplify right side
    189.22x = 29,136.89
  5. Step 5: Solve for x
    x = 29,136.89/189.22
  6. Step 6: Final answer
    x = 153.98

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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.