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Finding the Fourth Proportional to 405.87, 559.96 and 240.03

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Solution

The fourth proportional to 405.87, 559.96 and 240.03 is: 331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.87 : 559.96 = 240.03 : x
  2. Step 2: Convert to fraction form
    405.87/559.96 = 240.03/x
  3. Step 3: Cross multiply
    405.87x = 559.96 × 240.03
  4. Step 4: Simplify right side
    405.87x = 134,407.20
  5. Step 5: Solve for x
    x = 134,407.20/405.87
  6. Step 6: Final answer
    x = 331.16

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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.