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Finding the Fourth Proportional to 326.84, 487.52 and 295.70

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Solution

The fourth proportional to 326.84, 487.52 and 295.70 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.84 : 487.52 = 295.70 : x
  2. Step 2: Convert to fraction form
    326.84/487.52 = 295.70/x
  3. Step 3: Cross multiply
    326.84x = 487.52 × 295.70
  4. Step 4: Simplify right side
    326.84x = 144,157.97
  5. Step 5: Solve for x
    x = 144,157.97/326.84
  6. Step 6: Final answer
    x = 441.07

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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.