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Finding the Fourth Proportional to 290.94, 433.10 and 277.67

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Solution

The fourth proportional to 290.94, 433.10 and 277.67 is: 413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.94 : 433.10 = 277.67 : x
  2. Step 2: Convert to fraction form
    290.94/433.10 = 277.67/x
  3. Step 3: Cross multiply
    290.94x = 433.10 × 277.67
  4. Step 4: Simplify right side
    290.94x = 120,255.32
  5. Step 5: Solve for x
    x = 120,255.32/290.94
  6. Step 6: Final answer
    x = 413.33

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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.