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Finding the Fourth Proportional to 298.95, 412.43 and 215.87

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Solution

The fourth proportional to 298.95, 412.43 and 215.87 is: 297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 412.43 = 215.87 : x
  2. Step 2: Convert to fraction form
    298.95/412.43 = 215.87/x
  3. Step 3: Cross multiply
    298.95x = 412.43 × 215.87
  4. Step 4: Simplify right side
    298.95x = 89,031.22
  5. Step 5: Solve for x
    x = 89,031.22/298.95
  6. Step 6: Final answer
    x = 297.81

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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.