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Finding the Fourth Proportional to 407.16, 613.83 and 381.60

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Solution

The fourth proportional to 407.16, 613.83 and 381.60 is: 575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 613.83 = 381.60 : x
  2. Step 2: Convert to fraction form
    407.16/613.83 = 381.60/x
  3. Step 3: Cross multiply
    407.16x = 613.83 × 381.60
  4. Step 4: Simplify right side
    407.16x = 234,237.53
  5. Step 5: Solve for x
    x = 234,237.53/407.16
  6. Step 6: Final answer
    x = 575.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.