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Finding the Fourth Proportional to 277.96, 384.06 and 220.18

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Solution

The fourth proportional to 277.96, 384.06 and 220.18 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 384.06 = 220.18 : x
  2. Step 2: Convert to fraction form
    277.96/384.06 = 220.18/x
  3. Step 3: Cross multiply
    277.96x = 384.06 × 220.18
  4. Step 4: Simplify right side
    277.96x = 84,562.33
  5. Step 5: Solve for x
    x = 84,562.33/277.96
  6. Step 6: Final answer
    x = 304.22

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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.