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Finding the Fourth Proportional to 181.67, 270.18 and 177.11

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Solution

The fourth proportional to 181.67, 270.18 and 177.11 is: 263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 270.18 = 177.11 : x
  2. Step 2: Convert to fraction form
    181.67/270.18 = 177.11/x
  3. Step 3: Cross multiply
    181.67x = 270.18 × 177.11
  4. Step 4: Simplify right side
    181.67x = 47,851.58
  5. Step 5: Solve for x
    x = 47,851.58/181.67
  6. Step 6: Final answer
    x = 263.40

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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.