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Finding the Fourth Proportional to 298.58, 409.29 and 293.54

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Solution

The fourth proportional to 298.58, 409.29 and 293.54 is: 402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.58 : 409.29 = 293.54 : x
  2. Step 2: Convert to fraction form
    298.58/409.29 = 293.54/x
  3. Step 3: Cross multiply
    298.58x = 409.29 × 293.54
  4. Step 4: Simplify right side
    298.58x = 120,141.52
  5. Step 5: Solve for x
    x = 120,141.52/298.58
  6. Step 6: Final answer
    x = 402.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.