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Finding the Fourth Proportional to 304.02, 419.31 and 185.90

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Solution

The fourth proportional to 304.02, 419.31 and 185.90 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 419.31 = 185.90 : x
  2. Step 2: Convert to fraction form
    304.02/419.31 = 185.90/x
  3. Step 3: Cross multiply
    304.02x = 419.31 × 185.90
  4. Step 4: Simplify right side
    304.02x = 77,947.63
  5. Step 5: Solve for x
    x = 77,947.63/304.02
  6. Step 6: Final answer
    x = 256.39

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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.