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Finding the Fourth Proportional to 181.70, 274.07 and 176.23

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Solution

The fourth proportional to 181.70, 274.07 and 176.23 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 274.07 = 176.23 : x
  2. Step 2: Convert to fraction form
    181.70/274.07 = 176.23/x
  3. Step 3: Cross multiply
    181.70x = 274.07 × 176.23
  4. Step 4: Simplify right side
    181.70x = 48,299.36
  5. Step 5: Solve for x
    x = 48,299.36/181.70
  6. Step 6: Final answer
    x = 265.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.