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Finding the Fourth Proportional to 294.21, 442.13 and 203.49

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Solution

The fourth proportional to 294.21, 442.13 and 203.49 is: 305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.21 : 442.13 = 203.49 : x
  2. Step 2: Convert to fraction form
    294.21/442.13 = 203.49/x
  3. Step 3: Cross multiply
    294.21x = 442.13 × 203.49
  4. Step 4: Simplify right side
    294.21x = 89,968.02
  5. Step 5: Solve for x
    x = 89,968.02/294.21
  6. Step 6: Final answer
    x = 305.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.