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Finding the Fourth Proportional to 304.23, 455.79 and 206.49

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Solution

The fourth proportional to 304.23, 455.79 and 206.49 is: 309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 455.79 = 206.49 : x
  2. Step 2: Convert to fraction form
    304.23/455.79 = 206.49/x
  3. Step 3: Cross multiply
    304.23x = 455.79 × 206.49
  4. Step 4: Simplify right side
    304.23x = 94,116.08
  5. Step 5: Solve for x
    x = 94,116.08/304.23
  6. Step 6: Final answer
    x = 309.36

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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.