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Finding the Fourth Proportional to 378.50, 569.12 and 348.43

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Solution

The fourth proportional to 378.50, 569.12 and 348.43 is: 523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 569.12 = 348.43 : x
  2. Step 2: Convert to fraction form
    378.50/569.12 = 348.43/x
  3. Step 3: Cross multiply
    378.50x = 569.12 × 348.43
  4. Step 4: Simplify right side
    378.50x = 198,298.48
  5. Step 5: Solve for x
    x = 198,298.48/378.50
  6. Step 6: Final answer
    x = 523.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.