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Finding the Fourth Proportional to 135.15, 185.94 and 105.45

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Solution

The fourth proportional to 135.15, 185.94 and 105.45 is: 145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 185.94 = 105.45 : x
  2. Step 2: Convert to fraction form
    135.15/185.94 = 105.45/x
  3. Step 3: Cross multiply
    135.15x = 185.94 × 105.45
  4. Step 4: Simplify right side
    135.15x = 19,607.37
  5. Step 5: Solve for x
    x = 19,607.37/135.15
  6. Step 6: Final answer
    x = 145.08

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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.