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Finding the Fourth Proportional to 304.05, 419.21 and 210.63

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Solution

The fourth proportional to 304.05, 419.21 and 210.63 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.05 : 419.21 = 210.63 : x
  2. Step 2: Convert to fraction form
    304.05/419.21 = 210.63/x
  3. Step 3: Cross multiply
    304.05x = 419.21 × 210.63
  4. Step 4: Simplify right side
    304.05x = 88,299.51
  5. Step 5: Solve for x
    x = 88,299.51/304.05
  6. Step 6: Final answer
    x = 290.41

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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.