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Finding the Fourth Proportional to 304.30, 419.82 and 206.08

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Solution

The fourth proportional to 304.30, 419.82 and 206.08 is: 284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 419.82 = 206.08 : x
  2. Step 2: Convert to fraction form
    304.30/419.82 = 206.08/x
  3. Step 3: Cross multiply
    304.30x = 419.82 × 206.08
  4. Step 4: Simplify right side
    304.30x = 86,516.51
  5. Step 5: Solve for x
    x = 86,516.51/304.30
  6. Step 6: Final answer
    x = 284.31

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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.