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Finding the Fourth Proportional to 378.09, 521.46 and 253.67

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Solution

The fourth proportional to 378.09, 521.46 and 253.67 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 521.46 = 253.67 : x
  2. Step 2: Convert to fraction form
    378.09/521.46 = 253.67/x
  3. Step 3: Cross multiply
    378.09x = 521.46 × 253.67
  4. Step 4: Simplify right side
    378.09x = 132,276.15
  5. Step 5: Solve for x
    x = 132,276.15/378.09
  6. Step 6: Final answer
    x = 349.85

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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.