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Finding the Fourth Proportional to 298.05, 410.58 and 268.89

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Solution

The fourth proportional to 298.05, 410.58 and 268.89 is: 370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.05 : 410.58 = 268.89 : x
  2. Step 2: Convert to fraction form
    298.05/410.58 = 268.89/x
  3. Step 3: Cross multiply
    298.05x = 410.58 × 268.89
  4. Step 4: Simplify right side
    298.05x = 110,400.86
  5. Step 5: Solve for x
    x = 110,400.86/298.05
  6. Step 6: Final answer
    x = 370.41

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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.