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Finding the Fourth Proportional to 111, 165.75 and 90.66

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Solution

The fourth proportional to 111, 165.75 and 90.66 is: 135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 165.75 = 90.66 : x
  2. Step 2: Convert to fraction form
    111/165.75 = 90.66/x
  3. Step 3: Cross multiply
    111x = 165.75 × 90.66
  4. Step 4: Simplify right side
    111x = 15,026.90
  5. Step 5: Solve for x
    x = 15,026.90/111
  6. Step 6: Final answer
    x = 135.38

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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.