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Finding the Fourth Proportional to 365.28, 548.14 and 257.16

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Solution

The fourth proportional to 365.28, 548.14 and 257.16 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 548.14 = 257.16 : x
  2. Step 2: Convert to fraction form
    365.28/548.14 = 257.16/x
  3. Step 3: Cross multiply
    365.28x = 548.14 × 257.16
  4. Step 4: Simplify right side
    365.28x = 140,959.68
  5. Step 5: Solve for x
    x = 140,959.68/365.28
  6. Step 6: Final answer
    x = 385.89

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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.