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Finding the Fourth Proportional to 224.04, 307.47 and 205.56

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Solution

The fourth proportional to 224.04, 307.47 and 205.56 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.04 : 307.47 = 205.56 : x
  2. Step 2: Convert to fraction form
    224.04/307.47 = 205.56/x
  3. Step 3: Cross multiply
    224.04x = 307.47 × 205.56
  4. Step 4: Simplify right side
    224.04x = 63,203.53
  5. Step 5: Solve for x
    x = 63,203.53/224.04
  6. Step 6: Final answer
    x = 282.11

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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.