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Finding the Fourth Proportional to 223.00, 307.04 and 189.74

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Solution

The fourth proportional to 223.00, 307.04 and 189.74 is: 261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.00 : 307.04 = 189.74 : x
  2. Step 2: Convert to fraction form
    223.00/307.04 = 189.74/x
  3. Step 3: Cross multiply
    223.00x = 307.04 × 189.74
  4. Step 4: Simplify right side
    223.00x = 58,258.66
  5. Step 5: Solve for x
    x = 58,258.66/223.00
  6. Step 6: Final answer
    x = 261.25

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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.