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Finding the Fourth Proportional to 134.28, 201.40 and 61.14

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Solution

The fourth proportional to 134.28, 201.40 and 61.14 is: 91.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.28 : 201.40 = 61.14 : x
  2. Step 2: Convert to fraction form
    134.28/201.40 = 61.14/x
  3. Step 3: Cross multiply
    134.28x = 201.40 × 61.14
  4. Step 4: Simplify right side
    134.28x = 12,313.60
  5. Step 5: Solve for x
    x = 12,313.60/134.28
  6. Step 6: Final answer
    x = 91.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.