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Finding the Fourth Proportional to 297.54, 442.89 and 295.98

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Solution

The fourth proportional to 297.54, 442.89 and 295.98 is: 440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 442.89 = 295.98 : x
  2. Step 2: Convert to fraction form
    297.54/442.89 = 295.98/x
  3. Step 3: Cross multiply
    297.54x = 442.89 × 295.98
  4. Step 4: Simplify right side
    297.54x = 131,086.58
  5. Step 5: Solve for x
    x = 131,086.58/297.54
  6. Step 6: Final answer
    x = 440.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.