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Finding the Fourth Proportional to 222.04, 305.13 and 215.90

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Solution

The fourth proportional to 222.04, 305.13 and 215.90 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.04 : 305.13 = 215.90 : x
  2. Step 2: Convert to fraction form
    222.04/305.13 = 215.90/x
  3. Step 3: Cross multiply
    222.04x = 305.13 × 215.90
  4. Step 4: Simplify right side
    222.04x = 65,877.57
  5. Step 5: Solve for x
    x = 65,877.57/222.04
  6. Step 6: Final answer
    x = 296.69

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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.