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Finding the Fourth Proportional to 548.40, 755.50 and 382.31

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Solution

The fourth proportional to 548.40, 755.50 and 382.31 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 755.50 = 382.31 : x
  2. Step 2: Convert to fraction form
    548.40/755.50 = 382.31/x
  3. Step 3: Cross multiply
    548.40x = 755.50 × 382.31
  4. Step 4: Simplify right side
    548.40x = 288,835.21
  5. Step 5: Solve for x
    x = 288,835.21/548.40
  6. Step 6: Final answer
    x = 526.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.