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Finding the Fourth Proportional to 298.46, 411.04 and 257

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Solution

The fourth proportional to 298.46, 411.04 and 257 is: 353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.46 : 411.04 = 257 : x
  2. Step 2: Convert to fraction form
    298.46/411.04 = 257/x
  3. Step 3: Cross multiply
    298.46x = 411.04 × 257
  4. Step 4: Simplify right side
    298.46x = 105,637.28
  5. Step 5: Solve for x
    x = 105,637.28/298.46
  6. Step 6: Final answer
    x = 353.94

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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.