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Finding the Fourth Proportional to 439.96, 659.32 and 257.71

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Solution

The fourth proportional to 439.96, 659.32 and 257.71 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.96 : 659.32 = 257.71 : x
  2. Step 2: Convert to fraction form
    439.96/659.32 = 257.71/x
  3. Step 3: Cross multiply
    439.96x = 659.32 × 257.71
  4. Step 4: Simplify right side
    439.96x = 169,913.36
  5. Step 5: Solve for x
    x = 169,913.36/439.96
  6. Step 6: Final answer
    x = 386.20

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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.