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Finding the Fourth Proportional to 277.34, 413.02 and 267.74

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Solution

The fourth proportional to 277.34, 413.02 and 267.74 is: 398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 413.02 = 267.74 : x
  2. Step 2: Convert to fraction form
    277.34/413.02 = 267.74/x
  3. Step 3: Cross multiply
    277.34x = 413.02 × 267.74
  4. Step 4: Simplify right side
    277.34x = 110,581.97
  5. Step 5: Solve for x
    x = 110,581.97/277.34
  6. Step 6: Final answer
    x = 398.72

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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.