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Finding the Fourth Proportional to 405.80, 605.35 and 350.60

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Solution

The fourth proportional to 405.80, 605.35 and 350.60 is: 523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.80 : 605.35 = 350.60 : x
  2. Step 2: Convert to fraction form
    405.80/605.35 = 350.60/x
  3. Step 3: Cross multiply
    405.80x = 605.35 × 350.60
  4. Step 4: Simplify right side
    405.80x = 212,235.71
  5. Step 5: Solve for x
    x = 212,235.71/405.80
  6. Step 6: Final answer
    x = 523.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.