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Finding the Fourth Proportional to 378.45, 521.37 and 356.58

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Solution

The fourth proportional to 378.45, 521.37 and 356.58 is: 491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.45 : 521.37 = 356.58 : x
  2. Step 2: Convert to fraction form
    378.45/521.37 = 356.58/x
  3. Step 3: Cross multiply
    378.45x = 521.37 × 356.58
  4. Step 4: Simplify right side
    378.45x = 185,910.11
  5. Step 5: Solve for x
    x = 185,910.11/378.45
  6. Step 6: Final answer
    x = 491.24

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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.