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Finding the Fourth Proportional to 301.08, 413.75 and 287.52

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Solution

The fourth proportional to 301.08, 413.75 and 287.52 is: 395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 413.75 = 287.52 : x
  2. Step 2: Convert to fraction form
    301.08/413.75 = 287.52/x
  3. Step 3: Cross multiply
    301.08x = 413.75 × 287.52
  4. Step 4: Simplify right side
    301.08x = 118,959.96
  5. Step 5: Solve for x
    x = 118,959.96/301.08
  6. Step 6: Final answer
    x = 395.11

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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.