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Finding the Fourth Proportional to 135.30, 186.54 and 109.02

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Solution

The fourth proportional to 135.30, 186.54 and 109.02 is: 150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 186.54 = 109.02 : x
  2. Step 2: Convert to fraction form
    135.30/186.54 = 109.02/x
  3. Step 3: Cross multiply
    135.30x = 186.54 × 109.02
  4. Step 4: Simplify right side
    135.30x = 20,336.59
  5. Step 5: Solve for x
    x = 20,336.59/135.30
  6. Step 6: Final answer
    x = 150.31

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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.