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Finding the Fourth Proportional to 405.78, 559.47 and 331.93

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Solution

The fourth proportional to 405.78, 559.47 and 331.93 is: 457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.78 : 559.47 = 331.93 : x
  2. Step 2: Convert to fraction form
    405.78/559.47 = 331.93/x
  3. Step 3: Cross multiply
    405.78x = 559.47 × 331.93
  4. Step 4: Simplify right side
    405.78x = 185,704.88
  5. Step 5: Solve for x
    x = 185,704.88/405.78
  6. Step 6: Final answer
    x = 457.65

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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.