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Finding the Fourth Proportional to 280.87, 420.95 and 194.07

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Solution

The fourth proportional to 280.87, 420.95 and 194.07 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.87 : 420.95 = 194.07 : x
  2. Step 2: Convert to fraction form
    280.87/420.95 = 194.07/x
  3. Step 3: Cross multiply
    280.87x = 420.95 × 194.07
  4. Step 4: Simplify right side
    280.87x = 81,692.37
  5. Step 5: Solve for x
    x = 81,692.37/280.87
  6. Step 6: Final answer
    x = 290.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.