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Finding the Fourth Proportional to 326.50, 450.61 and 188.50

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Solution

The fourth proportional to 326.50, 450.61 and 188.50 is: 260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.61 = 188.50 : x
  2. Step 2: Convert to fraction form
    326.50/450.61 = 188.50/x
  3. Step 3: Cross multiply
    326.50x = 450.61 × 188.50
  4. Step 4: Simplify right side
    326.50x = 84,939.99
  5. Step 5: Solve for x
    x = 84,939.99/326.50
  6. Step 6: Final answer
    x = 260.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.