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Finding the Fourth Proportional to 439.05, 657.54 and 361.47

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Solution

The fourth proportional to 439.05, 657.54 and 361.47 is: 541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.05 : 657.54 = 361.47 : x
  2. Step 2: Convert to fraction form
    439.05/657.54 = 361.47/x
  3. Step 3: Cross multiply
    439.05x = 657.54 × 361.47
  4. Step 4: Simplify right side
    439.05x = 237,680.98
  5. Step 5: Solve for x
    x = 237,680.98/439.05
  6. Step 6: Final answer
    x = 541.35

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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.