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Finding the Fourth Proportional to 298.07, 411.21 and 210.86

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Solution

The fourth proportional to 298.07, 411.21 and 210.86 is: 290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.07 : 411.21 = 210.86 : x
  2. Step 2: Convert to fraction form
    298.07/411.21 = 210.86/x
  3. Step 3: Cross multiply
    298.07x = 411.21 × 210.86
  4. Step 4: Simplify right side
    298.07x = 86,707.74
  5. Step 5: Solve for x
    x = 86,707.74/298.07
  6. Step 6: Final answer
    x = 290.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.