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Finding the Fourth Proportional to 416.07, 572.91 and 356.60

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Solution

The fourth proportional to 416.07, 572.91 and 356.60 is: 491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 572.91 = 356.60 : x
  2. Step 2: Convert to fraction form
    416.07/572.91 = 356.60/x
  3. Step 3: Cross multiply
    416.07x = 572.91 × 356.60
  4. Step 4: Simplify right side
    416.07x = 204,299.80
  5. Step 5: Solve for x
    x = 204,299.80/416.07
  6. Step 6: Final answer
    x = 491.02

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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.