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Finding the Fourth Proportional to 134.78, 186.05 and 107.24

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Solution

The fourth proportional to 134.78, 186.05 and 107.24 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 186.05 = 107.24 : x
  2. Step 2: Convert to fraction form
    134.78/186.05 = 107.24/x
  3. Step 3: Cross multiply
    134.78x = 186.05 × 107.24
  4. Step 4: Simplify right side
    134.78x = 19,952.00
  5. Step 5: Solve for x
    x = 19,952.00/134.78
  6. Step 6: Final answer
    x = 148.03

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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.