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Finding the Fourth Proportional to 388.55, 534.67 and 378.33

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Solution

The fourth proportional to 388.55, 534.67 and 378.33 is: 520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.55 : 534.67 = 378.33 : x
  2. Step 2: Convert to fraction form
    388.55/534.67 = 378.33/x
  3. Step 3: Cross multiply
    388.55x = 534.67 × 378.33
  4. Step 4: Simplify right side
    388.55x = 202,280.76
  5. Step 5: Solve for x
    x = 202,280.76/388.55
  6. Step 6: Final answer
    x = 520.61

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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.