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Finding the Fourth Proportional to 304.15, 419.49 and 257.65

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Solution

The fourth proportional to 304.15, 419.49 and 257.65 is: 355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.15 : 419.49 = 257.65 : x
  2. Step 2: Convert to fraction form
    304.15/419.49 = 257.65/x
  3. Step 3: Cross multiply
    304.15x = 419.49 × 257.65
  4. Step 4: Simplify right side
    304.15x = 108,081.60
  5. Step 5: Solve for x
    x = 108,081.60/304.15
  6. Step 6: Final answer
    x = 355.36

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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.