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Finding the Fourth Proportional to 395.28, 588.60 and 380.70

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Solution

The fourth proportional to 395.28, 588.60 and 380.70 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.28 : 588.60 = 380.70 : x
  2. Step 2: Convert to fraction form
    395.28/588.60 = 380.70/x
  3. Step 3: Cross multiply
    395.28x = 588.60 × 380.70
  4. Step 4: Simplify right side
    395.28x = 224,080.02
  5. Step 5: Solve for x
    x = 224,080.02/395.28
  6. Step 6: Final answer
    x = 566.89

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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.