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Finding the Fourth Proportional to 405.19, 558.70 and 333.12

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Solution

The fourth proportional to 405.19, 558.70 and 333.12 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.19 : 558.70 = 333.12 : x
  2. Step 2: Convert to fraction form
    405.19/558.70 = 333.12/x
  3. Step 3: Cross multiply
    405.19x = 558.70 × 333.12
  4. Step 4: Simplify right side
    405.19x = 186,114.14
  5. Step 5: Solve for x
    x = 186,114.14/405.19
  6. Step 6: Final answer
    x = 459.33

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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.