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Finding the Fourth Proportional to 298.95, 446.23 and 264.39

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Solution

The fourth proportional to 298.95, 446.23 and 264.39 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 446.23 = 264.39 : x
  2. Step 2: Convert to fraction form
    298.95/446.23 = 264.39/x
  3. Step 3: Cross multiply
    298.95x = 446.23 × 264.39
  4. Step 4: Simplify right side
    298.95x = 117,978.75
  5. Step 5: Solve for x
    x = 117,978.75/298.95
  6. Step 6: Final answer
    x = 394.64

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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.