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Finding the Fourth Proportional to 388.04, 578.69 and 344.66

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Solution

The fourth proportional to 388.04, 578.69 and 344.66 is: 513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.04 : 578.69 = 344.66 : x
  2. Step 2: Convert to fraction form
    388.04/578.69 = 344.66/x
  3. Step 3: Cross multiply
    388.04x = 578.69 × 344.66
  4. Step 4: Simplify right side
    388.04x = 199,447.97
  5. Step 5: Solve for x
    x = 199,447.97/388.04
  6. Step 6: Final answer
    x = 513.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.