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Finding the Fourth Proportional to 215.86, 298.03 and 142.30

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Solution

The fourth proportional to 215.86, 298.03 and 142.30 is: 196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.86 : 298.03 = 142.30 : x
  2. Step 2: Convert to fraction form
    215.86/298.03 = 142.30/x
  3. Step 3: Cross multiply
    215.86x = 298.03 × 142.30
  4. Step 4: Simplify right side
    215.86x = 42,408.57
  5. Step 5: Solve for x
    x = 42,408.57/215.86
  6. Step 6: Final answer
    x = 196.47

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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.