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Finding the Fourth Proportional to 304.02, 419.19 and 230.19

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Solution

The fourth proportional to 304.02, 419.19 and 230.19 is: 317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 419.19 = 230.19 : x
  2. Step 2: Convert to fraction form
    304.02/419.19 = 230.19/x
  3. Step 3: Cross multiply
    304.02x = 419.19 × 230.19
  4. Step 4: Simplify right side
    304.02x = 96,493.35
  5. Step 5: Solve for x
    x = 96,493.35/304.02
  6. Step 6: Final answer
    x = 317.39

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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.