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Finding the Fourth Proportional to 223.14, 307.41 and 201.30

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Solution

The fourth proportional to 223.14, 307.41 and 201.30 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.41 = 201.30 : x
  2. Step 2: Convert to fraction form
    223.14/307.41 = 201.30/x
  3. Step 3: Cross multiply
    223.14x = 307.41 × 201.30
  4. Step 4: Simplify right side
    223.14x = 61,881.63
  5. Step 5: Solve for x
    x = 61,881.63/223.14
  6. Step 6: Final answer
    x = 277.32

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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.