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Finding the Fourth Proportional to 440, 660.27 and 257.48

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Solution

The fourth proportional to 440, 660.27 and 257.48 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 660.27 = 257.48 : x
  2. Step 2: Convert to fraction form
    440/660.27 = 257.48/x
  3. Step 3: Cross multiply
    440x = 660.27 × 257.48
  4. Step 4: Simplify right side
    440x = 170,006.32
  5. Step 5: Solve for x
    x = 170,006.32/440
  6. Step 6: Final answer
    x = 386.38

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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.