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Finding the Fourth Proportional to 288.26, 431.58 and 246.98

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Solution

The fourth proportional to 288.26, 431.58 and 246.98 is: 369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.26 : 431.58 = 246.98 : x
  2. Step 2: Convert to fraction form
    288.26/431.58 = 246.98/x
  3. Step 3: Cross multiply
    288.26x = 431.58 × 246.98
  4. Step 4: Simplify right side
    288.26x = 106,591.63
  5. Step 5: Solve for x
    x = 106,591.63/288.26
  6. Step 6: Final answer
    x = 369.78

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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.