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Finding the Fourth Proportional to 404.34, 558.15 and 273.74

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Solution

The fourth proportional to 404.34, 558.15 and 273.74 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 558.15 = 273.74 : x
  2. Step 2: Convert to fraction form
    404.34/558.15 = 273.74/x
  3. Step 3: Cross multiply
    404.34x = 558.15 × 273.74
  4. Step 4: Simplify right side
    404.34x = 152,785.19
  5. Step 5: Solve for x
    x = 152,785.19/404.34
  6. Step 6: Final answer
    x = 377.86

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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.