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Finding the Fourth Proportional to 135.24, 186.48 and 109.08

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Solution

The fourth proportional to 135.24, 186.48 and 109.08 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.24 : 186.48 = 109.08 : x
  2. Step 2: Convert to fraction form
    135.24/186.48 = 109.08/x
  3. Step 3: Cross multiply
    135.24x = 186.48 × 109.08
  4. Step 4: Simplify right side
    135.24x = 20,341.24
  5. Step 5: Solve for x
    x = 20,341.24/135.24
  6. Step 6: Final answer
    x = 150.41

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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.