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Finding the Fourth Proportional to 298.51, 447.76 and 282.71

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Solution

The fourth proportional to 298.51, 447.76 and 282.71 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 447.76 = 282.71 : x
  2. Step 2: Convert to fraction form
    298.51/447.76 = 282.71/x
  3. Step 3: Cross multiply
    298.51x = 447.76 × 282.71
  4. Step 4: Simplify right side
    298.51x = 126,587.70
  5. Step 5: Solve for x
    x = 126,587.70/298.51
  6. Step 6: Final answer
    x = 424.07

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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.