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Finding the Fourth Proportional to 111.02, 165.75 and 104.78

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Solution

The fourth proportional to 111.02, 165.75 and 104.78 is: 156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 165.75 = 104.78 : x
  2. Step 2: Convert to fraction form
    111.02/165.75 = 104.78/x
  3. Step 3: Cross multiply
    111.02x = 165.75 × 104.78
  4. Step 4: Simplify right side
    111.02x = 17,366.76
  5. Step 5: Solve for x
    x = 17,366.76/111.02
  6. Step 6: Final answer
    x = 156.43

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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.