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Finding the Fourth Proportional to 181.94, 271.37 and 177.89

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Solution

The fourth proportional to 181.94, 271.37 and 177.89 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 271.37 = 177.89 : x
  2. Step 2: Convert to fraction form
    181.94/271.37 = 177.89/x
  3. Step 3: Cross multiply
    181.94x = 271.37 × 177.89
  4. Step 4: Simplify right side
    181.94x = 48,271.76
  5. Step 5: Solve for x
    x = 48,271.76/181.94
  6. Step 6: Final answer
    x = 265.32

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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.