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Finding the Fourth Proportional to 294.67, 407.06 and 220.83

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Solution

The fourth proportional to 294.67, 407.06 and 220.83 is: 305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.67 : 407.06 = 220.83 : x
  2. Step 2: Convert to fraction form
    294.67/407.06 = 220.83/x
  3. Step 3: Cross multiply
    294.67x = 407.06 × 220.83
  4. Step 4: Simplify right side
    294.67x = 89,891.06
  5. Step 5: Solve for x
    x = 89,891.06/294.67
  6. Step 6: Final answer
    x = 305.06

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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.