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Finding the Fourth Proportional to 301.54, 413.65 and 282.90

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Solution

The fourth proportional to 301.54, 413.65 and 282.90 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.54 : 413.65 = 282.90 : x
  2. Step 2: Convert to fraction form
    301.54/413.65 = 282.90/x
  3. Step 3: Cross multiply
    301.54x = 413.65 × 282.90
  4. Step 4: Simplify right side
    301.54x = 117,021.59
  5. Step 5: Solve for x
    x = 117,021.59/301.54
  6. Step 6: Final answer
    x = 388.08

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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.