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Finding the Fourth Proportional to 405.99, 562.86 and 381.15

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Solution

The fourth proportional to 405.99, 562.86 and 381.15 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.99 : 562.86 = 381.15 : x
  2. Step 2: Convert to fraction form
    405.99/562.86 = 381.15/x
  3. Step 3: Cross multiply
    405.99x = 562.86 × 381.15
  4. Step 4: Simplify right side
    405.99x = 214,534.09
  5. Step 5: Solve for x
    x = 214,534.09/405.99
  6. Step 6: Final answer
    x = 528.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.