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Finding the Fourth Proportional to 294.89, 442.15 and 203.49

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Solution

The fourth proportional to 294.89, 442.15 and 203.49 is: 305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 442.15 = 203.49 : x
  2. Step 2: Convert to fraction form
    294.89/442.15 = 203.49/x
  3. Step 3: Cross multiply
    294.89x = 442.15 × 203.49
  4. Step 4: Simplify right side
    294.89x = 89,973.10
  5. Step 5: Solve for x
    x = 89,973.10/294.89
  6. Step 6: Final answer
    x = 305.11

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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.