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Finding the Fourth Proportional to 326.16, 487.76 and 264.16

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Solution

The fourth proportional to 326.16, 487.76 and 264.16 is: 395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.16 : 487.76 = 264.16 : x
  2. Step 2: Convert to fraction form
    326.16/487.76 = 264.16/x
  3. Step 3: Cross multiply
    326.16x = 487.76 × 264.16
  4. Step 4: Simplify right side
    326.16x = 128,846.68
  5. Step 5: Solve for x
    x = 128,846.68/326.16
  6. Step 6: Final answer
    x = 395.04

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