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Finding the Fourth Proportional to 111.78, 154.29 and 110.34

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Solution

The fourth proportional to 111.78, 154.29 and 110.34 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.78 : 154.29 = 110.34 : x
  2. Step 2: Convert to fraction form
    111.78/154.29 = 110.34/x
  3. Step 3: Cross multiply
    111.78x = 154.29 × 110.34
  4. Step 4: Simplify right side
    111.78x = 17,024.36
  5. Step 5: Solve for x
    x = 17,024.36/111.78
  6. Step 6: Final answer
    x = 152.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.