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Finding the Fourth Proportional to 182.37, 271.93 and 160.78

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Solution

The fourth proportional to 182.37, 271.93 and 160.78 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.37 : 271.93 = 160.78 : x
  2. Step 2: Convert to fraction form
    182.37/271.93 = 160.78/x
  3. Step 3: Cross multiply
    182.37x = 271.93 × 160.78
  4. Step 4: Simplify right side
    182.37x = 43,720.91
  5. Step 5: Solve for x
    x = 43,720.91/182.37
  6. Step 6: Final answer
    x = 239.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.