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Finding the Fourth Proportional to 181.14, 270.55 and 180.02

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Solution

The fourth proportional to 181.14, 270.55 and 180.02 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 270.55 = 180.02 : x
  2. Step 2: Convert to fraction form
    181.14/270.55 = 180.02/x
  3. Step 3: Cross multiply
    181.14x = 270.55 × 180.02
  4. Step 4: Simplify right side
    181.14x = 48,703.51
  5. Step 5: Solve for x
    x = 48,703.51/181.14
  6. Step 6: Final answer
    x = 268.87

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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.