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Finding the Fourth Proportional to 401.64, 555.05 and 326.81

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Solution

The fourth proportional to 401.64, 555.05 and 326.81 is: 451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 555.05 = 326.81 : x
  2. Step 2: Convert to fraction form
    401.64/555.05 = 326.81/x
  3. Step 3: Cross multiply
    401.64x = 555.05 × 326.81
  4. Step 4: Simplify right side
    401.64x = 181,391.48
  5. Step 5: Solve for x
    x = 181,391.48/401.64
  6. Step 6: Final answer
    x = 451.63

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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.