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Finding the Fourth Proportional to 152.38, 208.96 and 144.82

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Solution

The fourth proportional to 152.38, 208.96 and 144.82 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 208.96 = 144.82 : x
  2. Step 2: Convert to fraction form
    152.38/208.96 = 144.82/x
  3. Step 3: Cross multiply
    152.38x = 208.96 × 144.82
  4. Step 4: Simplify right side
    152.38x = 30,261.59
  5. Step 5: Solve for x
    x = 30,261.59/152.38
  6. Step 6: Final answer
    x = 198.59

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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.