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Finding the Fourth Proportional to 326.07, 492.81 and 320.40

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Solution

The fourth proportional to 326.07, 492.81 and 320.40 is: 484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.07 : 492.81 = 320.40 : x
  2. Step 2: Convert to fraction form
    326.07/492.81 = 320.40/x
  3. Step 3: Cross multiply
    326.07x = 492.81 × 320.40
  4. Step 4: Simplify right side
    326.07x = 157,896.76
  5. Step 5: Solve for x
    x = 157,896.76/326.07
  6. Step 6: Final answer
    x = 484.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.