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Finding the Fourth Proportional to 286.98, 430.46 and 104.41

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Solution

The fourth proportional to 286.98, 430.46 and 104.41 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 430.46 = 104.41 : x
  2. Step 2: Convert to fraction form
    286.98/430.46 = 104.41/x
  3. Step 3: Cross multiply
    286.98x = 430.46 × 104.41
  4. Step 4: Simplify right side
    286.98x = 44,943.12
  5. Step 5: Solve for x
    x = 44,943.12/286.98
  6. Step 6: Final answer
    x = 156.61

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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.