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Finding the Fourth Proportional to 223.14, 307.89 and 128.63

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Solution

The fourth proportional to 223.14, 307.89 and 128.63 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.89 = 128.63 : x
  2. Step 2: Convert to fraction form
    223.14/307.89 = 128.63/x
  3. Step 3: Cross multiply
    223.14x = 307.89 × 128.63
  4. Step 4: Simplify right side
    223.14x = 39,602.35
  5. Step 5: Solve for x
    x = 39,602.35/223.14
  6. Step 6: Final answer
    x = 177.48

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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.