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Finding the Fourth Proportional to 215.88, 298.08 and 188.16

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Solution

The fourth proportional to 215.88, 298.08 and 188.16 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 298.08 = 188.16 : x
  2. Step 2: Convert to fraction form
    215.88/298.08 = 188.16/x
  3. Step 3: Cross multiply
    215.88x = 298.08 × 188.16
  4. Step 4: Simplify right side
    215.88x = 56,086.73
  5. Step 5: Solve for x
    x = 56,086.73/215.88
  6. Step 6: Final answer
    x = 259.81

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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.