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Finding the Fourth Proportional to 298.68, 444.75 and 282.84

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Solution

The fourth proportional to 298.68, 444.75 and 282.84 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 444.75 = 282.84 : x
  2. Step 2: Convert to fraction form
    298.68/444.75 = 282.84/x
  3. Step 3: Cross multiply
    298.68x = 444.75 × 282.84
  4. Step 4: Simplify right side
    298.68x = 125,793.09
  5. Step 5: Solve for x
    x = 125,793.09/298.68
  6. Step 6: Final answer
    x = 421.16

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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.