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Finding the Fourth Proportional to 182.49, 272.12 and 160.91

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Solution

The fourth proportional to 182.49, 272.12 and 160.91 is: 239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 272.12 = 160.91 : x
  2. Step 2: Convert to fraction form
    182.49/272.12 = 160.91/x
  3. Step 3: Cross multiply
    182.49x = 272.12 × 160.91
  4. Step 4: Simplify right side
    182.49x = 43,784.66
  5. Step 5: Solve for x
    x = 43,784.66/182.49
  6. Step 6: Final answer
    x = 239.93

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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.