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Finding the Fourth Proportional to 439.46, 659.10 and 257.12

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Solution

The fourth proportional to 439.46, 659.10 and 257.12 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.46 : 659.10 = 257.12 : x
  2. Step 2: Convert to fraction form
    439.46/659.10 = 257.12/x
  3. Step 3: Cross multiply
    439.46x = 659.10 × 257.12
  4. Step 4: Simplify right side
    439.46x = 169,467.79
  5. Step 5: Solve for x
    x = 169,467.79/439.46
  6. Step 6: Final answer
    x = 385.63

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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.