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Finding the Fourth Proportional to 135, 185.76 and 120.24

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Solution

The fourth proportional to 135, 185.76 and 120.24 is: 165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 185.76 = 120.24 : x
  2. Step 2: Convert to fraction form
    135/185.76 = 120.24/x
  3. Step 3: Cross multiply
    135x = 185.76 × 120.24
  4. Step 4: Simplify right side
    135x = 22,335.78
  5. Step 5: Solve for x
    x = 22,335.78/135
  6. Step 6: Final answer
    x = 165.45

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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.