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Finding the Fourth Proportional to 90.40, 134.94 and 84.32

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Solution

The fourth proportional to 90.40, 134.94 and 84.32 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.40 : 134.94 = 84.32 : x
  2. Step 2: Convert to fraction form
    90.40/134.94 = 84.32/x
  3. Step 3: Cross multiply
    90.40x = 134.94 × 84.32
  4. Step 4: Simplify right side
    90.40x = 11,378.14
  5. Step 5: Solve for x
    x = 11,378.14/90.40
  6. Step 6: Final answer
    x = 125.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.