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Finding the Fourth Proportional to 94.51, 129.80 and 83.58

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Solution

The fourth proportional to 94.51, 129.80 and 83.58 is: 114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.51 : 129.80 = 83.58 : x
  2. Step 2: Convert to fraction form
    94.51/129.80 = 83.58/x
  3. Step 3: Cross multiply
    94.51x = 129.80 × 83.58
  4. Step 4: Simplify right side
    94.51x = 10,848.68
  5. Step 5: Solve for x
    x = 10,848.68/94.51
  6. Step 6: Final answer
    x = 114.79

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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.