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Finding the Fourth Proportional to 304.07, 419.12 and 205.66

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Solution

The fourth proportional to 304.07, 419.12 and 205.66 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.07 : 419.12 = 205.66 : x
  2. Step 2: Convert to fraction form
    304.07/419.12 = 205.66/x
  3. Step 3: Cross multiply
    304.07x = 419.12 × 205.66
  4. Step 4: Simplify right side
    304.07x = 86,196.22
  5. Step 5: Solve for x
    x = 86,196.22/304.07
  6. Step 6: Final answer
    x = 283.47

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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.