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Finding the Fourth Proportional to 304.35, 416.51 and 301.11

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Solution

The fourth proportional to 304.35, 416.51 and 301.11 is: 412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.35 : 416.51 = 301.11 : x
  2. Step 2: Convert to fraction form
    304.35/416.51 = 301.11/x
  3. Step 3: Cross multiply
    304.35x = 416.51 × 301.11
  4. Step 4: Simplify right side
    304.35x = 125,413.82
  5. Step 5: Solve for x
    x = 125,413.82/304.35
  6. Step 6: Final answer
    x = 412.07

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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.