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Finding the Fourth Proportional to 223.19, 307.96 and 140.24

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Solution

The fourth proportional to 223.19, 307.96 and 140.24 is: 193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.19 : 307.96 = 140.24 : x
  2. Step 2: Convert to fraction form
    223.19/307.96 = 140.24/x
  3. Step 3: Cross multiply
    223.19x = 307.96 × 140.24
  4. Step 4: Simplify right side
    223.19x = 43,187.22
  5. Step 5: Solve for x
    x = 43,187.22/223.19
  6. Step 6: Final answer
    x = 193.50

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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.