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Finding the Fourth Proportional to 181.77, 270.68 and 177.51

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Solution

The fourth proportional to 181.77, 270.68 and 177.51 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.77 : 270.68 = 177.51 : x
  2. Step 2: Convert to fraction form
    181.77/270.68 = 177.51/x
  3. Step 3: Cross multiply
    181.77x = 270.68 × 177.51
  4. Step 4: Simplify right side
    181.77x = 48,048.41
  5. Step 5: Solve for x
    x = 48,048.41/181.77
  6. Step 6: Final answer
    x = 264.34

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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.