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Finding the Fourth Proportional to 361.66, 539.53 and 351.74

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Solution

The fourth proportional to 361.66, 539.53 and 351.74 is: 524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.66 : 539.53 = 351.74 : x
  2. Step 2: Convert to fraction form
    361.66/539.53 = 351.74/x
  3. Step 3: Cross multiply
    361.66x = 539.53 × 351.74
  4. Step 4: Simplify right side
    361.66x = 189,774.28
  5. Step 5: Solve for x
    x = 189,774.28/361.66
  6. Step 6: Final answer
    x = 524.73

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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.