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Finding the Fourth Proportional to 298.85, 450.52 and 279.03

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Solution

The fourth proportional to 298.85, 450.52 and 279.03 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.85 : 450.52 = 279.03 : x
  2. Step 2: Convert to fraction form
    298.85/450.52 = 279.03/x
  3. Step 3: Cross multiply
    298.85x = 450.52 × 279.03
  4. Step 4: Simplify right side
    298.85x = 125,707.20
  5. Step 5: Solve for x
    x = 125,707.20/298.85
  6. Step 6: Final answer
    x = 420.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.