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Finding the Fourth Proportional to 263.63, 362.27 and 219.89

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Solution

The fourth proportional to 263.63, 362.27 and 219.89 is: 302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 362.27 = 219.89 : x
  2. Step 2: Convert to fraction form
    263.63/362.27 = 219.89/x
  3. Step 3: Cross multiply
    263.63x = 362.27 × 219.89
  4. Step 4: Simplify right side
    263.63x = 79,661.01
  5. Step 5: Solve for x
    x = 79,661.01/263.63
  6. Step 6: Final answer
    x = 302.17

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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.