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Finding the Fourth Proportional to 110.76, 166.03 and 90.23

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Solution

The fourth proportional to 110.76, 166.03 and 90.23 is: 135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.76 : 166.03 = 90.23 : x
  2. Step 2: Convert to fraction form
    110.76/166.03 = 90.23/x
  3. Step 3: Cross multiply
    110.76x = 166.03 × 90.23
  4. Step 4: Simplify right side
    110.76x = 14,980.89
  5. Step 5: Solve for x
    x = 14,980.89/110.76
  6. Step 6: Final answer
    x = 135.26

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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.