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Finding the Fourth Proportional to 294.89, 407.19 and 221.06

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Solution

The fourth proportional to 294.89, 407.19 and 221.06 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 407.19 = 221.06 : x
  2. Step 2: Convert to fraction form
    294.89/407.19 = 221.06/x
  3. Step 3: Cross multiply
    294.89x = 407.19 × 221.06
  4. Step 4: Simplify right side
    294.89x = 90,011.39
  5. Step 5: Solve for x
    x = 90,011.39/294.89
  6. Step 6: Final answer
    x = 305.24

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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.