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Finding the Fourth Proportional to 152.76, 208.83 and 150.60

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Solution

The fourth proportional to 152.76, 208.83 and 150.60 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.76 : 208.83 = 150.60 : x
  2. Step 2: Convert to fraction form
    152.76/208.83 = 150.60/x
  3. Step 3: Cross multiply
    152.76x = 208.83 × 150.60
  4. Step 4: Simplify right side
    152.76x = 31,449.80
  5. Step 5: Solve for x
    x = 31,449.80/152.76
  6. Step 6: Final answer
    x = 205.88

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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.