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Finding the Fourth Proportional to 304.16, 417.96 and 300.11

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Solution

The fourth proportional to 304.16, 417.96 and 300.11 is: 412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 417.96 = 300.11 : x
  2. Step 2: Convert to fraction form
    304.16/417.96 = 300.11/x
  3. Step 3: Cross multiply
    304.16x = 417.96 × 300.11
  4. Step 4: Simplify right side
    304.16x = 125,431.89
  5. Step 5: Solve for x
    x = 125,431.89/304.16
  6. Step 6: Final answer
    x = 412.39

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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.