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Finding the Fourth Proportional to 361.05, 538.71 and 352.76

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Solution

The fourth proportional to 361.05, 538.71 and 352.76 is: 526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.05 : 538.71 = 352.76 : x
  2. Step 2: Convert to fraction form
    361.05/538.71 = 352.76/x
  3. Step 3: Cross multiply
    361.05x = 538.71 × 352.76
  4. Step 4: Simplify right side
    361.05x = 190,032.65
  5. Step 5: Solve for x
    x = 190,032.65/361.05
  6. Step 6: Final answer
    x = 526.33

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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.