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Finding the Fourth Proportional to 416, 573.50 and 356.74

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Solution

The fourth proportional to 416, 573.50 and 356.74 is: 491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 573.50 = 356.74 : x
  2. Step 2: Convert to fraction form
    416/573.50 = 356.74/x
  3. Step 3: Cross multiply
    416x = 573.50 × 356.74
  4. Step 4: Simplify right side
    416x = 204,590.39
  5. Step 5: Solve for x
    x = 204,590.39/416
  6. Step 6: Final answer
    x = 491.80

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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.