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Finding the Fourth Proportional to 152.09, 208.27 and 143.77

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Solution

The fourth proportional to 152.09, 208.27 and 143.77 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.09 : 208.27 = 143.77 : x
  2. Step 2: Convert to fraction form
    152.09/208.27 = 143.77/x
  3. Step 3: Cross multiply
    152.09x = 208.27 × 143.77
  4. Step 4: Simplify right side
    152.09x = 29,941.94
  5. Step 5: Solve for x
    x = 29,941.94/152.09
  6. Step 6: Final answer
    x = 196.87

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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.