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Finding the Fourth Proportional to 116.31, 172.99 and 114.01

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Solution

The fourth proportional to 116.31, 172.99 and 114.01 is: 169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.31 : 172.99 = 114.01 : x
  2. Step 2: Convert to fraction form
    116.31/172.99 = 114.01/x
  3. Step 3: Cross multiply
    116.31x = 172.99 × 114.01
  4. Step 4: Simplify right side
    116.31x = 19,721.66
  5. Step 5: Solve for x
    x = 19,721.66/116.31
  6. Step 6: Final answer
    x = 169.56

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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.