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Finding the Fourth Proportional to 402.48, 556.56 and 326.16

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Solution

The fourth proportional to 402.48, 556.56 and 326.16 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.48 : 556.56 = 326.16 : x
  2. Step 2: Convert to fraction form
    402.48/556.56 = 326.16/x
  3. Step 3: Cross multiply
    402.48x = 556.56 × 326.16
  4. Step 4: Simplify right side
    402.48x = 181,527.61
  5. Step 5: Solve for x
    x = 181,527.61/402.48
  6. Step 6: Final answer
    x = 451.02

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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.