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Finding the Fourth Proportional to 388.83, 580.11 and 346.17

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Solution

The fourth proportional to 388.83, 580.11 and 346.17 is: 516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.83 : 580.11 = 346.17 : x
  2. Step 2: Convert to fraction form
    388.83/580.11 = 346.17/x
  3. Step 3: Cross multiply
    388.83x = 580.11 × 346.17
  4. Step 4: Simplify right side
    388.83x = 200,816.68
  5. Step 5: Solve for x
    x = 200,816.68/388.83
  6. Step 6: Final answer
    x = 516.46

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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.