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Finding the Fourth Proportional to 391.11, 538.63 and 382.60

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Solution

The fourth proportional to 391.11, 538.63 and 382.60 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.11 : 538.63 = 382.60 : x
  2. Step 2: Convert to fraction form
    391.11/538.63 = 382.60/x
  3. Step 3: Cross multiply
    391.11x = 538.63 × 382.60
  4. Step 4: Simplify right side
    391.11x = 206,080.23
  5. Step 5: Solve for x
    x = 206,080.23/391.11
  6. Step 6: Final answer
    x = 526.91

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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.