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Finding the Fourth Proportional to 291.19, 433.47 and 277.91

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Solution

The fourth proportional to 291.19, 433.47 and 277.91 is: 413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 433.47 = 277.91 : x
  2. Step 2: Convert to fraction form
    291.19/433.47 = 277.91/x
  3. Step 3: Cross multiply
    291.19x = 433.47 × 277.91
  4. Step 4: Simplify right side
    291.19x = 120,466.73
  5. Step 5: Solve for x
    x = 120,466.73/291.19
  6. Step 6: Final answer
    x = 413.71

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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.