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Finding the Fourth Proportional to 181.94, 272.81 and 64.76

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Solution

The fourth proportional to 181.94, 272.81 and 64.76 is: 97.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 272.81 = 64.76 : x
  2. Step 2: Convert to fraction form
    181.94/272.81 = 64.76/x
  3. Step 3: Cross multiply
    181.94x = 272.81 × 64.76
  4. Step 4: Simplify right side
    181.94x = 17,665.97
  5. Step 5: Solve for x
    x = 17,665.97/181.94
  6. Step 6: Final answer
    x = 97.10

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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.