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Finding the Fourth Proportional to 89.40, 134.12 and 28.53

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Solution

The fourth proportional to 89.40, 134.12 and 28.53 is: 42.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.40 : 134.12 = 28.53 : x
  2. Step 2: Convert to fraction form
    89.40/134.12 = 28.53/x
  3. Step 3: Cross multiply
    89.40x = 134.12 × 28.53
  4. Step 4: Simplify right side
    89.40x = 3,826.30
  5. Step 5: Solve for x
    x = 3,826.30/89.40
  6. Step 6: Final answer
    x = 42.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.