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Finding the Fourth Proportional to 277.60, 413.75 and 248.74

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Solution

The fourth proportional to 277.60, 413.75 and 248.74 is: 370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 413.75 = 248.74 : x
  2. Step 2: Convert to fraction form
    277.60/413.75 = 248.74/x
  3. Step 3: Cross multiply
    277.60x = 413.75 × 248.74
  4. Step 4: Simplify right side
    277.60x = 102,916.18
  5. Step 5: Solve for x
    x = 102,916.18/277.60
  6. Step 6: Final answer
    x = 370.74

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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.