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Finding the Fourth Proportional to 378.49, 522.24 and 295.60

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Solution

The fourth proportional to 378.49, 522.24 and 295.60 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.49 : 522.24 = 295.60 : x
  2. Step 2: Convert to fraction form
    378.49/522.24 = 295.60/x
  3. Step 3: Cross multiply
    378.49x = 522.24 × 295.60
  4. Step 4: Simplify right side
    378.49x = 154,374.14
  5. Step 5: Solve for x
    x = 154,374.14/378.49
  6. Step 6: Final answer
    x = 407.87

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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.