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Finding the Fourth Proportional to 361.32, 538.81 and 347.32

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Solution

The fourth proportional to 361.32, 538.81 and 347.32 is: 517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.32 : 538.81 = 347.32 : x
  2. Step 2: Convert to fraction form
    361.32/538.81 = 347.32/x
  3. Step 3: Cross multiply
    361.32x = 538.81 × 347.32
  4. Step 4: Simplify right side
    361.32x = 187,139.49
  5. Step 5: Solve for x
    x = 187,139.49/361.32
  6. Step 6: Final answer
    x = 517.93

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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.