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Finding the Fourth Proportional to 378.56, 522.22 and 285.16

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Solution

The fourth proportional to 378.56, 522.22 and 285.16 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.56 : 522.22 = 285.16 : x
  2. Step 2: Convert to fraction form
    378.56/522.22 = 285.16/x
  3. Step 3: Cross multiply
    378.56x = 522.22 × 285.16
  4. Step 4: Simplify right side
    378.56x = 148,916.26
  5. Step 5: Solve for x
    x = 148,916.26/378.56
  6. Step 6: Final answer
    x = 393.38

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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.