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Finding the Fourth Proportional to 304.84, 420.69 and 186.79

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Solution

The fourth proportional to 304.84, 420.69 and 186.79 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.84 : 420.69 = 186.79 : x
  2. Step 2: Convert to fraction form
    304.84/420.69 = 186.79/x
  3. Step 3: Cross multiply
    304.84x = 420.69 × 186.79
  4. Step 4: Simplify right side
    304.84x = 78,580.69
  5. Step 5: Solve for x
    x = 78,580.69/304.84
  6. Step 6: Final answer
    x = 257.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.