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Finding the Fourth Proportional to 441.81, 659.80 and 355.27

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Solution

The fourth proportional to 441.81, 659.80 and 355.27 is: 530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.81 : 659.80 = 355.27 : x
  2. Step 2: Convert to fraction form
    441.81/659.80 = 355.27/x
  3. Step 3: Cross multiply
    441.81x = 659.80 × 355.27
  4. Step 4: Simplify right side
    441.81x = 234,407.15
  5. Step 5: Solve for x
    x = 234,407.15/441.81
  6. Step 6: Final answer
    x = 530.56

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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.