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Finding the Fourth Proportional to 395.16, 591.58 and 361.88

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Solution

The fourth proportional to 395.16, 591.58 and 361.88 is: 541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 591.58 = 361.88 : x
  2. Step 2: Convert to fraction form
    395.16/591.58 = 361.88/x
  3. Step 3: Cross multiply
    395.16x = 591.58 × 361.88
  4. Step 4: Simplify right side
    395.16x = 214,080.97
  5. Step 5: Solve for x
    x = 214,080.97/395.16
  6. Step 6: Final answer
    x = 541.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.