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Finding the Fourth Proportional to 116.39, 161.67 and 114.53

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Solution

The fourth proportional to 116.39, 161.67 and 114.53 is: 159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.39 : 161.67 = 114.53 : x
  2. Step 2: Convert to fraction form
    116.39/161.67 = 114.53/x
  3. Step 3: Cross multiply
    116.39x = 161.67 × 114.53
  4. Step 4: Simplify right side
    116.39x = 18,515.28
  5. Step 5: Solve for x
    x = 18,515.28/116.39
  6. Step 6: Final answer
    x = 159.08

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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.