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Finding the Fourth Proportional to 399.51, 601.92 and 361.04

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Solution

The fourth proportional to 399.51, 601.92 and 361.04 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.51 : 601.92 = 361.04 : x
  2. Step 2: Convert to fraction form
    399.51/601.92 = 361.04/x
  3. Step 3: Cross multiply
    399.51x = 601.92 × 361.04
  4. Step 4: Simplify right side
    399.51x = 217,314.19
  5. Step 5: Solve for x
    x = 217,314.19/399.51
  6. Step 6: Final answer
    x = 543.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.