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Finding the Fourth Proportional to 182.33, 272.17 and 156.81

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Solution

The fourth proportional to 182.33, 272.17 and 156.81 is: 234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.33 : 272.17 = 156.81 : x
  2. Step 2: Convert to fraction form
    182.33/272.17 = 156.81/x
  3. Step 3: Cross multiply
    182.33x = 272.17 × 156.81
  4. Step 4: Simplify right side
    182.33x = 42,680.19
  5. Step 5: Solve for x
    x = 42,680.19/182.33
  6. Step 6: Final answer
    x = 234.08

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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.