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Finding the Fourth Proportional to 289.41, 433.31 and 246.03

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Solution

The fourth proportional to 289.41, 433.31 and 246.03 is: 368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 433.31 = 246.03 : x
  2. Step 2: Convert to fraction form
    289.41/433.31 = 246.03/x
  3. Step 3: Cross multiply
    289.41x = 433.31 × 246.03
  4. Step 4: Simplify right side
    289.41x = 106,606.03
  5. Step 5: Solve for x
    x = 106,606.03/289.41
  6. Step 6: Final answer
    x = 368.36

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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.