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Finding the Fourth Proportional to 298.75, 412.15 and 215.67

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Solution

The fourth proportional to 298.75, 412.15 and 215.67 is: 297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.75 : 412.15 = 215.67 : x
  2. Step 2: Convert to fraction form
    298.75/412.15 = 215.67/x
  3. Step 3: Cross multiply
    298.75x = 412.15 × 215.67
  4. Step 4: Simplify right side
    298.75x = 88,887.31
  5. Step 5: Solve for x
    x = 88,887.31/298.75
  6. Step 6: Final answer
    x = 297.54

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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.