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Finding the Fourth Proportional to 296.92, 411.83 and 285.99

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Solution

The fourth proportional to 296.92, 411.83 and 285.99 is: 396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 411.83 = 285.99 : x
  2. Step 2: Convert to fraction form
    296.92/411.83 = 285.99/x
  3. Step 3: Cross multiply
    296.92x = 411.83 × 285.99
  4. Step 4: Simplify right side
    296.92x = 117,779.26
  5. Step 5: Solve for x
    x = 117,779.26/296.92
  6. Step 6: Final answer
    x = 396.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.