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Finding the Fourth Proportional to 326.40, 487.22 and 287.52

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Solution

The fourth proportional to 326.40, 487.22 and 287.52 is: 429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 487.22 = 287.52 : x
  2. Step 2: Convert to fraction form
    326.40/487.22 = 287.52/x
  3. Step 3: Cross multiply
    326.40x = 487.22 × 287.52
  4. Step 4: Simplify right side
    326.40x = 140,085.49
  5. Step 5: Solve for x
    x = 140,085.49/326.40
  6. Step 6: Final answer
    x = 429.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.