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Finding the Fourth Proportional to 378.77, 522.41 and 285.53

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Solution

The fourth proportional to 378.77, 522.41 and 285.53 is: 393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 522.41 = 285.53 : x
  2. Step 2: Convert to fraction form
    378.77/522.41 = 285.53/x
  3. Step 3: Cross multiply
    378.77x = 522.41 × 285.53
  4. Step 4: Simplify right side
    378.77x = 149,159.69
  5. Step 5: Solve for x
    x = 149,159.69/378.77
  6. Step 6: Final answer
    x = 393.81

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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.