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Finding the Fourth Proportional to 114.78, 159.21 and 110.68

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Solution

The fourth proportional to 114.78, 159.21 and 110.68 is: 153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 159.21 = 110.68 : x
  2. Step 2: Convert to fraction form
    114.78/159.21 = 110.68/x
  3. Step 3: Cross multiply
    114.78x = 159.21 × 110.68
  4. Step 4: Simplify right side
    114.78x = 17,621.36
  5. Step 5: Solve for x
    x = 17,621.36/114.78
  6. Step 6: Final answer
    x = 153.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.