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Finding the Fourth Proportional to 134.06, 201.87 and 117.14

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Solution

The fourth proportional to 134.06, 201.87 and 117.14 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 201.87 = 117.14 : x
  2. Step 2: Convert to fraction form
    134.06/201.87 = 117.14/x
  3. Step 3: Cross multiply
    134.06x = 201.87 × 117.14
  4. Step 4: Simplify right side
    134.06x = 23,646.04
  5. Step 5: Solve for x
    x = 23,646.04/134.06
  6. Step 6: Final answer
    x = 176.39

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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.