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Finding the Fourth Proportional to 277.83, 415.13 and 223.16

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Solution

The fourth proportional to 277.83, 415.13 and 223.16 is: 333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 415.13 = 223.16 : x
  2. Step 2: Convert to fraction form
    277.83/415.13 = 223.16/x
  3. Step 3: Cross multiply
    277.83x = 415.13 × 223.16
  4. Step 4: Simplify right side
    277.83x = 92,637.22
  5. Step 5: Solve for x
    x = 92,637.22/277.83
  6. Step 6: Final answer
    x = 333.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.