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Finding the Fourth Proportional to 326.01, 492.71 and 320.34

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Solution

The fourth proportional to 326.01, 492.71 and 320.34 is: 484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.01 : 492.71 = 320.34 : x
  2. Step 2: Convert to fraction form
    326.01/492.71 = 320.34/x
  3. Step 3: Cross multiply
    326.01x = 492.71 × 320.34
  4. Step 4: Simplify right side
    326.01x = 157,835.52
  5. Step 5: Solve for x
    x = 157,835.52/326.01
  6. Step 6: Final answer
    x = 484.14

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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.