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Finding the Fourth Proportional to 223.79, 308.96 and 150.50

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Solution

The fourth proportional to 223.79, 308.96 and 150.50 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.79 : 308.96 = 150.50 : x
  2. Step 2: Convert to fraction form
    223.79/308.96 = 150.50/x
  3. Step 3: Cross multiply
    223.79x = 308.96 × 150.50
  4. Step 4: Simplify right side
    223.79x = 46,496.96
  5. Step 5: Solve for x
    x = 46,496.96/223.79
  6. Step 6: Final answer
    x = 207.77

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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.