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Finding the Fourth Proportional to 298.98, 412.66 and 210.89

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Solution

The fourth proportional to 298.98, 412.66 and 210.89 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.66 = 210.89 : x
  2. Step 2: Convert to fraction form
    298.98/412.66 = 210.89/x
  3. Step 3: Cross multiply
    298.98x = 412.66 × 210.89
  4. Step 4: Simplify right side
    298.98x = 87,025.87
  5. Step 5: Solve for x
    x = 87,025.87/298.98
  6. Step 6: Final answer
    x = 291.08

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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.