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Finding the Fourth Proportional to 405.06, 558.33 and 274.02

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Solution

The fourth proportional to 405.06, 558.33 and 274.02 is: 377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 558.33 = 274.02 : x
  2. Step 2: Convert to fraction form
    405.06/558.33 = 274.02/x
  3. Step 3: Cross multiply
    405.06x = 558.33 × 274.02
  4. Step 4: Simplify right side
    405.06x = 152,993.59
  5. Step 5: Solve for x
    x = 152,993.59/405.06
  6. Step 6: Final answer
    x = 377.71

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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.