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Finding the Fourth Proportional to 277.30, 413.69 and 239.14

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Solution

The fourth proportional to 277.30, 413.69 and 239.14 is: 356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 413.69 = 239.14 : x
  2. Step 2: Convert to fraction form
    277.30/413.69 = 239.14/x
  3. Step 3: Cross multiply
    277.30x = 413.69 × 239.14
  4. Step 4: Simplify right side
    277.30x = 98,929.83
  5. Step 5: Solve for x
    x = 98,929.83/277.30
  6. Step 6: Final answer
    x = 356.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.