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Finding the Fourth Proportional to 223.95, 309.30 and 220.91

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Solution

The fourth proportional to 223.95, 309.30 and 220.91 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 309.30 = 220.91 : x
  2. Step 2: Convert to fraction form
    223.95/309.30 = 220.91/x
  3. Step 3: Cross multiply
    223.95x = 309.30 × 220.91
  4. Step 4: Simplify right side
    223.95x = 68,327.46
  5. Step 5: Solve for x
    x = 68,327.46/223.95
  6. Step 6: Final answer
    x = 305.10

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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.