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Finding the Fourth Proportional to 304.63, 420.38 and 166.63

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Solution

The fourth proportional to 304.63, 420.38 and 166.63 is: 229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.63 : 420.38 = 166.63 : x
  2. Step 2: Convert to fraction form
    304.63/420.38 = 166.63/x
  3. Step 3: Cross multiply
    304.63x = 420.38 × 166.63
  4. Step 4: Simplify right side
    304.63x = 70,047.92
  5. Step 5: Solve for x
    x = 70,047.92/304.63
  6. Step 6: Final answer
    x = 229.94

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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.