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Finding the Fourth Proportional to 298.48, 444.73 and 266.14

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Solution

The fourth proportional to 298.48, 444.73 and 266.14 is: 396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.48 : 444.73 = 266.14 : x
  2. Step 2: Convert to fraction form
    298.48/444.73 = 266.14/x
  3. Step 3: Cross multiply
    298.48x = 444.73 × 266.14
  4. Step 4: Simplify right side
    298.48x = 118,360.44
  5. Step 5: Solve for x
    x = 118,360.44/298.48
  6. Step 6: Final answer
    x = 396.54

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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.