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Finding the Fourth Proportional to 404.16, 605.76 and 356.16

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Solution

The fourth proportional to 404.16, 605.76 and 356.16 is: 533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.16 : 605.76 = 356.16 : x
  2. Step 2: Convert to fraction form
    404.16/605.76 = 356.16/x
  3. Step 3: Cross multiply
    404.16x = 605.76 × 356.16
  4. Step 4: Simplify right side
    404.16x = 215,747.48
  5. Step 5: Solve for x
    x = 215,747.48/404.16
  6. Step 6: Final answer
    x = 533.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.