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Finding the Fourth Proportional to 404.36, 557.70 and 300.68

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Solution

The fourth proportional to 404.36, 557.70 and 300.68 is: 414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 557.70 = 300.68 : x
  2. Step 2: Convert to fraction form
    404.36/557.70 = 300.68/x
  3. Step 3: Cross multiply
    404.36x = 557.70 × 300.68
  4. Step 4: Simplify right side
    404.36x = 167,689.24
  5. Step 5: Solve for x
    x = 167,689.24/404.36
  6. Step 6: Final answer
    x = 414.70

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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.