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Finding the Fourth Proportional to 276.58, 413.15 and 204.58

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Solution

The fourth proportional to 276.58, 413.15 and 204.58 is: 305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 413.15 = 204.58 : x
  2. Step 2: Convert to fraction form
    276.58/413.15 = 204.58/x
  3. Step 3: Cross multiply
    276.58x = 413.15 × 204.58
  4. Step 4: Simplify right side
    276.58x = 84,522.23
  5. Step 5: Solve for x
    x = 84,522.23/276.58
  6. Step 6: Final answer
    x = 305.60

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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.