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Finding the Fourth Proportional to 150.95, 208.47 and 134.55

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Solution

The fourth proportional to 150.95, 208.47 and 134.55 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.95 : 208.47 = 134.55 : x
  2. Step 2: Convert to fraction form
    150.95/208.47 = 134.55/x
  3. Step 3: Cross multiply
    150.95x = 208.47 × 134.55
  4. Step 4: Simplify right side
    150.95x = 28,049.64
  5. Step 5: Solve for x
    x = 28,049.64/150.95
  6. Step 6: Final answer
    x = 185.82

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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.