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Finding the Fourth Proportional to 304.36, 420.05 and 206.35

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Solution

The fourth proportional to 304.36, 420.05 and 206.35 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.36 : 420.05 = 206.35 : x
  2. Step 2: Convert to fraction form
    304.36/420.05 = 206.35/x
  3. Step 3: Cross multiply
    304.36x = 420.05 × 206.35
  4. Step 4: Simplify right side
    304.36x = 86,674.19
  5. Step 5: Solve for x
    x = 86,674.19/304.36
  6. Step 6: Final answer
    x = 284.78

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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.