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Finding the Fourth Proportional to 355.81, 533.70 and 194.50

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Solution

The fourth proportional to 355.81, 533.70 and 194.50 is: 291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.81 : 533.70 = 194.50 : x
  2. Step 2: Convert to fraction form
    355.81/533.70 = 194.50/x
  3. Step 3: Cross multiply
    355.81x = 533.70 × 194.50
  4. Step 4: Simplify right side
    355.81x = 103,804.65
  5. Step 5: Solve for x
    x = 103,804.65/355.81
  6. Step 6: Final answer
    x = 291.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.