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Finding the Fourth Proportional to 423.81, 585.59 and 350.00

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Solution

The fourth proportional to 423.81, 585.59 and 350.00 is: 483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.81 : 585.59 = 350.00 : x
  2. Step 2: Convert to fraction form
    423.81/585.59 = 350.00/x
  3. Step 3: Cross multiply
    423.81x = 585.59 × 350.00
  4. Step 4: Simplify right side
    423.81x = 204,958.84
  5. Step 5: Solve for x
    x = 204,958.84/423.81
  6. Step 6: Final answer
    x = 483.61

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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.