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Finding the Fourth Proportional to 222.65, 305.30 and 214.92

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Solution

The fourth proportional to 222.65, 305.30 and 214.92 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.65 : 305.30 = 214.92 : x
  2. Step 2: Convert to fraction form
    222.65/305.30 = 214.92/x
  3. Step 3: Cross multiply
    222.65x = 305.30 × 214.92
  4. Step 4: Simplify right side
    222.65x = 65,614.00
  5. Step 5: Solve for x
    x = 65,614.00/222.65
  6. Step 6: Final answer
    x = 294.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.