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Finding the Fourth Proportional to 134.95, 186.16 and 102.14

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Solution

The fourth proportional to 134.95, 186.16 and 102.14 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.95 : 186.16 = 102.14 : x
  2. Step 2: Convert to fraction form
    134.95/186.16 = 102.14/x
  3. Step 3: Cross multiply
    134.95x = 186.16 × 102.14
  4. Step 4: Simplify right side
    134.95x = 19,014.34
  5. Step 5: Solve for x
    x = 19,014.34/134.95
  6. Step 6: Final answer
    x = 140.90

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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.