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Finding the Fourth Proportional to 116.22, 159.71 and 110.87

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Solution

The fourth proportional to 116.22, 159.71 and 110.87 is: 152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.22 : 159.71 = 110.87 : x
  2. Step 2: Convert to fraction form
    116.22/159.71 = 110.87/x
  3. Step 3: Cross multiply
    116.22x = 159.71 × 110.87
  4. Step 4: Simplify right side
    116.22x = 17,706.25
  5. Step 5: Solve for x
    x = 17,706.25/116.22
  6. Step 6: Final answer
    x = 152.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.