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Finding the Fourth Proportional to 223.77, 308.75 and 150.17

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Solution

The fourth proportional to 223.77, 308.75 and 150.17 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.77 : 308.75 = 150.17 : x
  2. Step 2: Convert to fraction form
    223.77/308.75 = 150.17/x
  3. Step 3: Cross multiply
    223.77x = 308.75 × 150.17
  4. Step 4: Simplify right side
    223.77x = 46,362.69
  5. Step 5: Solve for x
    x = 46,362.69/223.77
  6. Step 6: Final answer
    x = 207.19

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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.