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Finding the Fourth Proportional to 378.79, 522.62 and 246.05

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Solution

The fourth proportional to 378.79, 522.62 and 246.05 is: 339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.79 : 522.62 = 246.05 : x
  2. Step 2: Convert to fraction form
    378.79/522.62 = 246.05/x
  3. Step 3: Cross multiply
    378.79x = 522.62 × 246.05
  4. Step 4: Simplify right side
    378.79x = 128,590.65
  5. Step 5: Solve for x
    x = 128,590.65/378.79
  6. Step 6: Final answer
    x = 339.48

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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.