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Finding the Fourth Proportional to 404.34, 557.33 and 286.35

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Solution

The fourth proportional to 404.34, 557.33 and 286.35 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.33 = 286.35 : x
  2. Step 2: Convert to fraction form
    404.34/557.33 = 286.35/x
  3. Step 3: Cross multiply
    404.34x = 557.33 × 286.35
  4. Step 4: Simplify right side
    404.34x = 159,590.01
  5. Step 5: Solve for x
    x = 159,590.01/404.34
  6. Step 6: Final answer
    x = 394.69

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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.