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Finding the Fourth Proportional to 298.50, 444.60 and 283.08

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Solution

The fourth proportional to 298.50, 444.60 and 283.08 is: 421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 444.60 = 283.08 : x
  2. Step 2: Convert to fraction form
    298.50/444.60 = 283.08/x
  3. Step 3: Cross multiply
    298.50x = 444.60 × 283.08
  4. Step 4: Simplify right side
    298.50x = 125,857.37
  5. Step 5: Solve for x
    x = 125,857.37/298.50
  6. Step 6: Final answer
    x = 421.63

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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.