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Finding the Fourth Proportional to 193.37, 288.69 and 181.79

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Solution

The fourth proportional to 193.37, 288.69 and 181.79 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.37 : 288.69 = 181.79 : x
  2. Step 2: Convert to fraction form
    193.37/288.69 = 181.79/x
  3. Step 3: Cross multiply
    193.37x = 288.69 × 181.79
  4. Step 4: Simplify right side
    193.37x = 52,479.51
  5. Step 5: Solve for x
    x = 52,479.51/193.37
  6. Step 6: Final answer
    x = 271.40

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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.