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Finding the Fourth Proportional to 215.79, 298.01 and 192.89

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Solution

The fourth proportional to 215.79, 298.01 and 192.89 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.79 : 298.01 = 192.89 : x
  2. Step 2: Convert to fraction form
    215.79/298.01 = 192.89/x
  3. Step 3: Cross multiply
    215.79x = 298.01 × 192.89
  4. Step 4: Simplify right side
    215.79x = 57,480.69
  5. Step 5: Solve for x
    x = 57,480.69/215.79
  6. Step 6: Final answer
    x = 266.37

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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.