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Finding the Fourth Proportional to 224.27, 307.77 and 203.48

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Solution

The fourth proportional to 224.27, 307.77 and 203.48 is: 279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 307.77 = 203.48 : x
  2. Step 2: Convert to fraction form
    224.27/307.77 = 203.48/x
  3. Step 3: Cross multiply
    224.27x = 307.77 × 203.48
  4. Step 4: Simplify right side
    224.27x = 62,623.50
  5. Step 5: Solve for x
    x = 62,623.50/224.27
  6. Step 6: Final answer
    x = 279.24

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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.