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Finding the Fourth Proportional to 365.92, 548.96 and 257.76

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Solution

The fourth proportional to 365.92, 548.96 and 257.76 is: 386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 548.96 = 257.76 : x
  2. Step 2: Convert to fraction form
    365.92/548.96 = 257.76/x
  3. Step 3: Cross multiply
    365.92x = 548.96 × 257.76
  4. Step 4: Simplify right side
    365.92x = 141,499.93
  5. Step 5: Solve for x
    x = 141,499.93/365.92
  6. Step 6: Final answer
    x = 386.70

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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.