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Finding the Fourth Proportional to 90.45, 135.74 and 89.37

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Solution

The fourth proportional to 90.45, 135.74 and 89.37 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.45 : 135.74 = 89.37 : x
  2. Step 2: Convert to fraction form
    90.45/135.74 = 89.37/x
  3. Step 3: Cross multiply
    90.45x = 135.74 × 89.37
  4. Step 4: Simplify right side
    90.45x = 12,131.31
  5. Step 5: Solve for x
    x = 12,131.31/90.45
  6. Step 6: Final answer
    x = 134.12

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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.