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Finding the Fourth Proportional to 405.48, 611.07 and 381.16

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Solution

The fourth proportional to 405.48, 611.07 and 381.16 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 611.07 = 381.16 : x
  2. Step 2: Convert to fraction form
    405.48/611.07 = 381.16/x
  3. Step 3: Cross multiply
    405.48x = 611.07 × 381.16
  4. Step 4: Simplify right side
    405.48x = 232,915.44
  5. Step 5: Solve for x
    x = 232,915.44/405.48
  6. Step 6: Final answer
    x = 574.42

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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.