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Finding the Fourth Proportional to 286.89, 431.30 and 235.92

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Solution

The fourth proportional to 286.89, 431.30 and 235.92 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 431.30 = 235.92 : x
  2. Step 2: Convert to fraction form
    286.89/431.30 = 235.92/x
  3. Step 3: Cross multiply
    286.89x = 431.30 × 235.92
  4. Step 4: Simplify right side
    286.89x = 101,752.30
  5. Step 5: Solve for x
    x = 101,752.30/286.89
  6. Step 6: Final answer
    x = 354.67

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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.