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Finding the Fourth Proportional to 304.92, 458.01 and 189.50

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Solution

The fourth proportional to 304.92, 458.01 and 189.50 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.92 : 458.01 = 189.50 : x
  2. Step 2: Convert to fraction form
    304.92/458.01 = 189.50/x
  3. Step 3: Cross multiply
    304.92x = 458.01 × 189.50
  4. Step 4: Simplify right side
    304.92x = 86,790.60
  5. Step 5: Solve for x
    x = 86,790.60/304.92
  6. Step 6: Final answer
    x = 284.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.