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Finding the Fourth Proportional to 134.16, 185.09 and 85.02

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Solution

The fourth proportional to 134.16, 185.09 and 85.02 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 185.09 = 85.02 : x
  2. Step 2: Convert to fraction form
    134.16/185.09 = 85.02/x
  3. Step 3: Cross multiply
    134.16x = 185.09 × 85.02
  4. Step 4: Simplify right side
    134.16x = 15,735.93
  5. Step 5: Solve for x
    x = 15,735.93/134.16
  6. Step 6: Final answer
    x = 117.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.