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Finding the Fourth Proportional to 367.83, 555.92 and 361.45

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Solution

The fourth proportional to 367.83, 555.92 and 361.45 is: 546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.83 : 555.92 = 361.45 : x
  2. Step 2: Convert to fraction form
    367.83/555.92 = 361.45/x
  3. Step 3: Cross multiply
    367.83x = 555.92 × 361.45
  4. Step 4: Simplify right side
    367.83x = 200,937.28
  5. Step 5: Solve for x
    x = 200,937.28/367.83
  6. Step 6: Final answer
    x = 546.28

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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.