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Finding the Fourth Proportional to 326.94, 490.57 and 153.72

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Solution

The fourth proportional to 326.94, 490.57 and 153.72 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.94 : 490.57 = 153.72 : x
  2. Step 2: Convert to fraction form
    326.94/490.57 = 153.72/x
  3. Step 3: Cross multiply
    326.94x = 490.57 × 153.72
  4. Step 4: Simplify right side
    326.94x = 75,410.42
  5. Step 5: Solve for x
    x = 75,410.42/326.94
  6. Step 6: Final answer
    x = 230.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.