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Finding the Fourth Proportional to 304.16, 419.67 and 257.43

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Solution

The fourth proportional to 304.16, 419.67 and 257.43 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 419.67 = 257.43 : x
  2. Step 2: Convert to fraction form
    304.16/419.67 = 257.43/x
  3. Step 3: Cross multiply
    304.16x = 419.67 × 257.43
  4. Step 4: Simplify right side
    304.16x = 108,035.65
  5. Step 5: Solve for x
    x = 108,035.65/304.16
  6. Step 6: Final answer
    x = 355.20

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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.