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Finding the Fourth Proportional to 215.12, 321.05 and 192.06

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Solution

The fourth proportional to 215.12, 321.05 and 192.06 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.12 : 321.05 = 192.06 : x
  2. Step 2: Convert to fraction form
    215.12/321.05 = 192.06/x
  3. Step 3: Cross multiply
    215.12x = 321.05 × 192.06
  4. Step 4: Simplify right side
    215.12x = 61,659.90
  5. Step 5: Solve for x
    x = 61,659.90/215.12
  6. Step 6: Final answer
    x = 286.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.