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Finding the Fourth Proportional to 181.67, 270.35 and 175.19

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Solution

The fourth proportional to 181.67, 270.35 and 175.19 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.67 : 270.35 = 175.19 : x
  2. Step 2: Convert to fraction form
    181.67/270.35 = 175.19/x
  3. Step 3: Cross multiply
    181.67x = 270.35 × 175.19
  4. Step 4: Simplify right side
    181.67x = 47,360.39
  5. Step 5: Solve for x
    x = 47,360.39/181.67
  6. Step 6: Final answer
    x = 260.70

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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.