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Finding the Fourth Proportional to 291.06, 433.28 and 277.79

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Solution

The fourth proportional to 291.06, 433.28 and 277.79 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 433.28 = 277.79 : x
  2. Step 2: Convert to fraction form
    291.06/433.28 = 277.79/x
  3. Step 3: Cross multiply
    291.06x = 433.28 × 277.79
  4. Step 4: Simplify right side
    291.06x = 120,360.85
  5. Step 5: Solve for x
    x = 120,360.85/291.06
  6. Step 6: Final answer
    x = 413.53

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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.