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Finding the Fourth Proportional to 404.66, 558.63 and 300.04

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Solution

The fourth proportional to 404.66, 558.63 and 300.04 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.66 : 558.63 = 300.04 : x
  2. Step 2: Convert to fraction form
    404.66/558.63 = 300.04/x
  3. Step 3: Cross multiply
    404.66x = 558.63 × 300.04
  4. Step 4: Simplify right side
    404.66x = 167,609.95
  5. Step 5: Solve for x
    x = 167,609.95/404.66
  6. Step 6: Final answer
    x = 414.20

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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.