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Finding the Fourth Proportional to 356.28, 490.64 and 257.88

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Solution

The fourth proportional to 356.28, 490.64 and 257.88 is: 355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.28 : 490.64 = 257.88 : x
  2. Step 2: Convert to fraction form
    356.28/490.64 = 257.88/x
  3. Step 3: Cross multiply
    356.28x = 490.64 × 257.88
  4. Step 4: Simplify right side
    356.28x = 126,526.24
  5. Step 5: Solve for x
    x = 126,526.24/356.28
  6. Step 6: Final answer
    x = 355.13

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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.