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Finding the Fourth Proportional to 189.34, 261.15 and 110.59

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Solution

The fourth proportional to 189.34, 261.15 and 110.59 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 261.15 = 110.59 : x
  2. Step 2: Convert to fraction form
    189.34/261.15 = 110.59/x
  3. Step 3: Cross multiply
    189.34x = 261.15 × 110.59
  4. Step 4: Simplify right side
    189.34x = 28,880.56
  5. Step 5: Solve for x
    x = 28,880.56/189.34
  6. Step 6: Final answer
    x = 152.53

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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.