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Finding the Fourth Proportional to 465.81, 643.02 and 326.13

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Solution

The fourth proportional to 465.81, 643.02 and 326.13 is: 450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.81 : 643.02 = 326.13 : x
  2. Step 2: Convert to fraction form
    465.81/643.02 = 326.13/x
  3. Step 3: Cross multiply
    465.81x = 643.02 × 326.13
  4. Step 4: Simplify right side
    465.81x = 209,708.11
  5. Step 5: Solve for x
    x = 209,708.11/465.81
  6. Step 6: Final answer
    x = 450.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.