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Finding the Fourth Proportional to 326.90, 493.26 and 314.25

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Solution

The fourth proportional to 326.90, 493.26 and 314.25 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 493.26 = 314.25 : x
  2. Step 2: Convert to fraction form
    326.90/493.26 = 314.25/x
  3. Step 3: Cross multiply
    326.90x = 493.26 × 314.25
  4. Step 4: Simplify right side
    326.90x = 155,004.49
  5. Step 5: Solve for x
    x = 155,004.49/326.90
  6. Step 6: Final answer
    x = 474.16

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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.