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Finding the Fourth Proportional to 298.02, 411.12 and 210.78

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Solution

The fourth proportional to 298.02, 411.12 and 210.78 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 411.12 = 210.78 : x
  2. Step 2: Convert to fraction form
    298.02/411.12 = 210.78/x
  3. Step 3: Cross multiply
    298.02x = 411.12 × 210.78
  4. Step 4: Simplify right side
    298.02x = 86,655.87
  5. Step 5: Solve for x
    x = 86,655.87/298.02
  6. Step 6: Final answer
    x = 290.77

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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.