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Finding the Fourth Proportional to 181.78, 272.66 and 60.14

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Solution

The fourth proportional to 181.78, 272.66 and 60.14 is: 90.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 272.66 = 60.14 : x
  2. Step 2: Convert to fraction form
    181.78/272.66 = 60.14/x
  3. Step 3: Cross multiply
    181.78x = 272.66 × 60.14
  4. Step 4: Simplify right side
    181.78x = 16,397.77
  5. Step 5: Solve for x
    x = 16,397.77/181.78
  6. Step 6: Final answer
    x = 90.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.