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Finding the Fourth Proportional to 304.65, 417.59 and 300.54

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Solution

The fourth proportional to 304.65, 417.59 and 300.54 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.65 : 417.59 = 300.54 : x
  2. Step 2: Convert to fraction form
    304.65/417.59 = 300.54/x
  3. Step 3: Cross multiply
    304.65x = 417.59 × 300.54
  4. Step 4: Simplify right side
    304.65x = 125,503.54
  5. Step 5: Solve for x
    x = 125,503.54/304.65
  6. Step 6: Final answer
    x = 411.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.