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Finding the Fourth Proportional to 404.83, 558.66 and 280.45

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Solution

The fourth proportional to 404.83, 558.66 and 280.45 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.83 : 558.66 = 280.45 : x
  2. Step 2: Convert to fraction form
    404.83/558.66 = 280.45/x
  3. Step 3: Cross multiply
    404.83x = 558.66 × 280.45
  4. Step 4: Simplify right side
    404.83x = 156,676.20
  5. Step 5: Solve for x
    x = 156,676.20/404.83
  6. Step 6: Final answer
    x = 387.02

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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.