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Finding the Fourth Proportional to 378.10, 522.15 and 284.69

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Solution

The fourth proportional to 378.10, 522.15 and 284.69 is: 393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.10 : 522.15 = 284.69 : x
  2. Step 2: Convert to fraction form
    378.10/522.15 = 284.69/x
  3. Step 3: Cross multiply
    378.10x = 522.15 × 284.69
  4. Step 4: Simplify right side
    378.10x = 148,653.52
  5. Step 5: Solve for x
    x = 148,653.52/378.10
  6. Step 6: Final answer
    x = 393.16

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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.