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Finding the Fourth Proportional to 355.55, 490.52 and 257.09

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Solution

The fourth proportional to 355.55, 490.52 and 257.09 is: 354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.55 : 490.52 = 257.09 : x
  2. Step 2: Convert to fraction form
    355.55/490.52 = 257.09/x
  3. Step 3: Cross multiply
    355.55x = 490.52 × 257.09
  4. Step 4: Simplify right side
    355.55x = 126,106.50
  5. Step 5: Solve for x
    x = 126,106.50/355.55
  6. Step 6: Final answer
    x = 354.68

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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.