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Finding the Fourth Proportional to 116.01, 172.68 and 114.28

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Solution

The fourth proportional to 116.01, 172.68 and 114.28 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.01 : 172.68 = 114.28 : x
  2. Step 2: Convert to fraction form
    116.01/172.68 = 114.28/x
  3. Step 3: Cross multiply
    116.01x = 172.68 × 114.28
  4. Step 4: Simplify right side
    116.01x = 19,733.54
  5. Step 5: Solve for x
    x = 19,733.54/116.01
  6. Step 6: Final answer
    x = 170.11

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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.