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Finding the Fourth Proportional to 355.81, 491 and 257.40

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Solution

The fourth proportional to 355.81, 491 and 257.40 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 491 = 257.40 : x
  2. Step 2: Convert to fraction form
    355.81/491 = 257.40/x
  3. Step 3: Cross multiply
    355.81x = 491 × 257.40
  4. Step 4: Simplify right side
    355.81x = 126,380.95
  5. Step 5: Solve for x
    x = 126,380.95/355.81
  6. Step 6: Final answer
    x = 355.19

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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.