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Finding the Fourth Proportional to 304.40, 419.72 and 206.22

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Solution

The fourth proportional to 304.40, 419.72 and 206.22 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 419.72 = 206.22 : x
  2. Step 2: Convert to fraction form
    304.40/419.72 = 206.22/x
  3. Step 3: Cross multiply
    304.40x = 419.72 × 206.22
  4. Step 4: Simplify right side
    304.40x = 86,554.66
  5. Step 5: Solve for x
    x = 86,554.66/304.40
  6. Step 6: Final answer
    x = 284.35

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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.