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Finding the Fourth Proportional to 277.02, 413.51 and 253.94

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Solution

The fourth proportional to 277.02, 413.51 and 253.94 is: 379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 413.51 = 253.94 : x
  2. Step 2: Convert to fraction form
    277.02/413.51 = 253.94/x
  3. Step 3: Cross multiply
    277.02x = 413.51 × 253.94
  4. Step 4: Simplify right side
    277.02x = 105,003.39
  5. Step 5: Solve for x
    x = 105,003.39/277.02
  6. Step 6: Final answer
    x = 379.05

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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.