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Finding the Fourth Proportional to 298.73, 415.01 and 296.06

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Solution

The fourth proportional to 298.73, 415.01 and 296.06 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.73 : 415.01 = 296.06 : x
  2. Step 2: Convert to fraction form
    298.73/415.01 = 296.06/x
  3. Step 3: Cross multiply
    298.73x = 415.01 × 296.06
  4. Step 4: Simplify right side
    298.73x = 122,864.31
  5. Step 5: Solve for x
    x = 122,864.31/298.73
  6. Step 6: Final answer
    x = 411.30

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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.