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Finding the Fourth Proportional to 361.83, 540.51 and 289.77

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Solution

The fourth proportional to 361.83, 540.51 and 289.77 is: 432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.83 : 540.51 = 289.77 : x
  2. Step 2: Convert to fraction form
    361.83/540.51 = 289.77/x
  3. Step 3: Cross multiply
    361.83x = 540.51 × 289.77
  4. Step 4: Simplify right side
    361.83x = 156,623.58
  5. Step 5: Solve for x
    x = 156,623.58/361.83
  6. Step 6: Final answer
    x = 432.87

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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.