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Finding the Fourth Proportional to 298.97, 412.58 and 180.94

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Solution

The fourth proportional to 298.97, 412.58 and 180.94 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.97 : 412.58 = 180.94 : x
  2. Step 2: Convert to fraction form
    298.97/412.58 = 180.94/x
  3. Step 3: Cross multiply
    298.97x = 412.58 × 180.94
  4. Step 4: Simplify right side
    298.97x = 74,653.26
  5. Step 5: Solve for x
    x = 74,653.26/298.97
  6. Step 6: Final answer
    x = 249.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.