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Finding the Fourth Proportional to 298.78, 414.08 and 294.23

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Solution

The fourth proportional to 298.78, 414.08 and 294.23 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.78 : 414.08 = 294.23 : x
  2. Step 2: Convert to fraction form
    298.78/414.08 = 294.23/x
  3. Step 3: Cross multiply
    298.78x = 414.08 × 294.23
  4. Step 4: Simplify right side
    298.78x = 121,834.76
  5. Step 5: Solve for x
    x = 121,834.76/298.78
  6. Step 6: Final answer
    x = 407.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.