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Finding the Fourth Proportional to 298.98, 448.11 and 183.11

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Solution

The fourth proportional to 298.98, 448.11 and 183.11 is: 274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 448.11 = 183.11 : x
  2. Step 2: Convert to fraction form
    298.98/448.11 = 183.11/x
  3. Step 3: Cross multiply
    298.98x = 448.11 × 183.11
  4. Step 4: Simplify right side
    298.98x = 82,051.18
  5. Step 5: Solve for x
    x = 82,051.18/298.98
  6. Step 6: Final answer
    x = 274.44

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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.