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Finding the Fourth Proportional to 298.72, 445.13 and 266.42

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Solution

The fourth proportional to 298.72, 445.13 and 266.42 is: 397.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.72 : 445.13 = 266.42 : x
  2. Step 2: Convert to fraction form
    298.72/445.13 = 266.42/x
  3. Step 3: Cross multiply
    298.72x = 445.13 × 266.42
  4. Step 4: Simplify right side
    298.72x = 118,591.53
  5. Step 5: Solve for x
    x = 118,591.53/298.72
  6. Step 6: Final answer
    x = 397.00

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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.