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Finding the Fourth Proportional to 277.02, 413.87 and 251.46

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Solution

The fourth proportional to 277.02, 413.87 and 251.46 is: 375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 413.87 = 251.46 : x
  2. Step 2: Convert to fraction form
    277.02/413.87 = 251.46/x
  3. Step 3: Cross multiply
    277.02x = 413.87 × 251.46
  4. Step 4: Simplify right side
    277.02x = 104,070.49
  5. Step 5: Solve for x
    x = 104,070.49/277.02
  6. Step 6: Final answer
    x = 375.68

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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.