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Finding the Fourth Proportional to 135.02, 185.08 and 133.14

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Solution

The fourth proportional to 135.02, 185.08 and 133.14 is: 182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.02 : 185.08 = 133.14 : x
  2. Step 2: Convert to fraction form
    135.02/185.08 = 133.14/x
  3. Step 3: Cross multiply
    135.02x = 185.08 × 133.14
  4. Step 4: Simplify right side
    135.02x = 24,641.55
  5. Step 5: Solve for x
    x = 24,641.55/135.02
  6. Step 6: Final answer
    x = 182.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.