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Finding the Fourth Proportional to 294.99, 444.20 and 218.49

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Solution

The fourth proportional to 294.99, 444.20 and 218.49 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.99 : 444.20 = 218.49 : x
  2. Step 2: Convert to fraction form
    294.99/444.20 = 218.49/x
  3. Step 3: Cross multiply
    294.99x = 444.20 × 218.49
  4. Step 4: Simplify right side
    294.99x = 97,053.28
  5. Step 5: Solve for x
    x = 97,053.28/294.99
  6. Step 6: Final answer
    x = 329.01

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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.