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Finding the Fourth Proportional to 135, 186.28 and 75.98

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Solution

The fourth proportional to 135, 186.28 and 75.98 is: 104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 186.28 = 75.98 : x
  2. Step 2: Convert to fraction form
    135/186.28 = 75.98/x
  3. Step 3: Cross multiply
    135x = 186.28 × 75.98
  4. Step 4: Simplify right side
    135x = 14,153.55
  5. Step 5: Solve for x
    x = 14,153.55/135
  6. Step 6: Final answer
    x = 104.84

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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.