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Finding the Fourth Proportional to 439.36, 659.17 and 257.11

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Solution

The fourth proportional to 439.36, 659.17 and 257.11 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.36 : 659.17 = 257.11 : x
  2. Step 2: Convert to fraction form
    439.36/659.17 = 257.11/x
  3. Step 3: Cross multiply
    439.36x = 659.17 × 257.11
  4. Step 4: Simplify right side
    439.36x = 169,477.87
  5. Step 5: Solve for x
    x = 169,477.87/439.36
  6. Step 6: Final answer
    x = 385.74

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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.