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Finding the Fourth Proportional to 298.14, 410.40 and 257.22

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Solution

The fourth proportional to 298.14, 410.40 and 257.22 is: 354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.14 : 410.40 = 257.22 : x
  2. Step 2: Convert to fraction form
    298.14/410.40 = 257.22/x
  3. Step 3: Cross multiply
    298.14x = 410.40 × 257.22
  4. Step 4: Simplify right side
    298.14x = 105,563.09
  5. Step 5: Solve for x
    x = 105,563.09/298.14
  6. Step 6: Final answer
    x = 354.07

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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.