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Finding the Fourth Proportional to 294.13, 442.94 and 213.54

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Solution

The fourth proportional to 294.13, 442.94 and 213.54 is: 321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 442.94 = 213.54 : x
  2. Step 2: Convert to fraction form
    294.13/442.94 = 213.54/x
  3. Step 3: Cross multiply
    294.13x = 442.94 × 213.54
  4. Step 4: Simplify right side
    294.13x = 94,585.41
  5. Step 5: Solve for x
    x = 94,585.41/294.13
  6. Step 6: Final answer
    x = 321.58

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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.