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Finding the Fourth Proportional to 181.48, 272.14 and 65.89

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Solution

The fourth proportional to 181.48, 272.14 and 65.89 is: 98.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.48 : 272.14 = 65.89 : x
  2. Step 2: Convert to fraction form
    181.48/272.14 = 65.89/x
  3. Step 3: Cross multiply
    181.48x = 272.14 × 65.89
  4. Step 4: Simplify right side
    181.48x = 17,930.83
  5. Step 5: Solve for x
    x = 17,930.83/181.48
  6. Step 6: Final answer
    x = 98.80

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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.