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Finding the Fourth Proportional to 441.24, 661.59 and 304.31

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Solution

The fourth proportional to 441.24, 661.59 and 304.31 is: 456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.24 : 661.59 = 304.31 : x
  2. Step 2: Convert to fraction form
    441.24/661.59 = 304.31/x
  3. Step 3: Cross multiply
    441.24x = 661.59 × 304.31
  4. Step 4: Simplify right side
    441.24x = 201,325.14
  5. Step 5: Solve for x
    x = 201,325.14/441.24
  6. Step 6: Final answer
    x = 456.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.