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Finding the Fourth Proportional to 439.51, 657.64 and 361.75

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Solution

The fourth proportional to 439.51, 657.64 and 361.75 is: 541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.51 : 657.64 = 361.75 : x
  2. Step 2: Convert to fraction form
    439.51/657.64 = 361.75/x
  3. Step 3: Cross multiply
    439.51x = 657.64 × 361.75
  4. Step 4: Simplify right side
    439.51x = 237,901.27
  5. Step 5: Solve for x
    x = 237,901.27/439.51
  6. Step 6: Final answer
    x = 541.29

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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.