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Finding the Fourth Proportional to 404.52, 604.20 and 349.84

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Solution

The fourth proportional to 404.52, 604.20 and 349.84 is: 522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.52 : 604.20 = 349.84 : x
  2. Step 2: Convert to fraction form
    404.52/604.20 = 349.84/x
  3. Step 3: Cross multiply
    404.52x = 604.20 × 349.84
  4. Step 4: Simplify right side
    404.52x = 211,374.63
  5. Step 5: Solve for x
    x = 211,374.63/404.52
  6. Step 6: Final answer
    x = 522.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.