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Finding the Fourth Proportional to 298.52, 448.60 and 279.08

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Solution

The fourth proportional to 298.52, 448.60 and 279.08 is: 419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.52 : 448.60 = 279.08 : x
  2. Step 2: Convert to fraction form
    298.52/448.60 = 279.08/x
  3. Step 3: Cross multiply
    298.52x = 448.60 × 279.08
  4. Step 4: Simplify right side
    298.52x = 125,195.29
  5. Step 5: Solve for x
    x = 125,195.29/298.52
  6. Step 6: Final answer
    x = 419.39

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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.