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Finding the Fourth Proportional to 361.53, 538.65 and 347.49

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Solution

The fourth proportional to 361.53, 538.65 and 347.49 is: 517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.53 : 538.65 = 347.49 : x
  2. Step 2: Convert to fraction form
    361.53/538.65 = 347.49/x
  3. Step 3: Cross multiply
    361.53x = 538.65 × 347.49
  4. Step 4: Simplify right side
    361.53x = 187,175.49
  5. Step 5: Solve for x
    x = 187,175.49/361.53
  6. Step 6: Final answer
    x = 517.73

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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.