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Finding the Fourth Proportional to 116.17, 175.16 and 102.80

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Solution

The fourth proportional to 116.17, 175.16 and 102.80 is: 155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.17 : 175.16 = 102.80 : x
  2. Step 2: Convert to fraction form
    116.17/175.16 = 102.80/x
  3. Step 3: Cross multiply
    116.17x = 175.16 × 102.80
  4. Step 4: Simplify right side
    116.17x = 18,007.14
  5. Step 5: Solve for x
    x = 18,007.14/116.17
  6. Step 6: Final answer
    x = 155.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.