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Finding the Fourth Proportional to 298.70, 412.23 and 180.75

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Solution

The fourth proportional to 298.70, 412.23 and 180.75 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.70 : 412.23 = 180.75 : x
  2. Step 2: Convert to fraction form
    298.70/412.23 = 180.75/x
  3. Step 3: Cross multiply
    298.70x = 412.23 × 180.75
  4. Step 4: Simplify right side
    298.70x = 74,510.57
  5. Step 5: Solve for x
    x = 74,510.57/298.70
  6. Step 6: Final answer
    x = 249.45

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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.