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Finding the Fourth Proportional to 465, 642.18 and 326.76

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Solution

The fourth proportional to 465, 642.18 and 326.76 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 642.18 = 326.76 : x
  2. Step 2: Convert to fraction form
    465/642.18 = 326.76/x
  3. Step 3: Cross multiply
    465x = 642.18 × 326.76
  4. Step 4: Simplify right side
    465x = 209,838.74
  5. Step 5: Solve for x
    x = 209,838.74/465
  6. Step 6: Final answer
    x = 451.27

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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.