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Finding the Fourth Proportional to 298.34, 412.90 and 257.04

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Solution

The fourth proportional to 298.34, 412.90 and 257.04 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.34 : 412.90 = 257.04 : x
  2. Step 2: Convert to fraction form
    298.34/412.90 = 257.04/x
  3. Step 3: Cross multiply
    298.34x = 412.90 × 257.04
  4. Step 4: Simplify right side
    298.34x = 106,131.82
  5. Step 5: Solve for x
    x = 106,131.82/298.34
  6. Step 6: Final answer
    x = 355.74

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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.