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Finding the Fourth Proportional to 294.50, 443.48 and 218.01

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Solution

The fourth proportional to 294.50, 443.48 and 218.01 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 443.48 = 218.01 : x
  2. Step 2: Convert to fraction form
    294.50/443.48 = 218.01/x
  3. Step 3: Cross multiply
    294.50x = 443.48 × 218.01
  4. Step 4: Simplify right side
    294.50x = 96,680.69
  5. Step 5: Solve for x
    x = 96,680.69/294.50
  6. Step 6: Final answer
    x = 328.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.