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Finding the Fourth Proportional to 303.80, 413.60 and 301.10

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Solution

The fourth proportional to 303.80, 413.60 and 301.10 is: 409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.80 : 413.60 = 301.10 : x
  2. Step 2: Convert to fraction form
    303.80/413.60 = 301.10/x
  3. Step 3: Cross multiply
    303.80x = 413.60 × 301.10
  4. Step 4: Simplify right side
    303.80x = 124,534.96
  5. Step 5: Solve for x
    x = 124,534.96/303.80
  6. Step 6: Final answer
    x = 409.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.