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Finding the Fourth Proportional to 89, 134.34 and 89

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Solution

The fourth proportional to 89, 134.34 and 89 is: 134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89 : 134.34 = 89 : x
  2. Step 2: Convert to fraction form
    89/134.34 = 89/x
  3. Step 3: Cross multiply
    89x = 134.34 × 89
  4. Step 4: Simplify right side
    89x = 11,956.26
  5. Step 5: Solve for x
    x = 11,956.26/89
  6. Step 6: Final answer
    x = 134.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.