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Finding the Fourth Proportional to 326.86, 451.23 and 253.01

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Solution

The fourth proportional to 326.86, 451.23 and 253.01 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.86 : 451.23 = 253.01 : x
  2. Step 2: Convert to fraction form
    326.86/451.23 = 253.01/x
  3. Step 3: Cross multiply
    326.86x = 451.23 × 253.01
  4. Step 4: Simplify right side
    326.86x = 114,165.70
  5. Step 5: Solve for x
    x = 114,165.70/326.86
  6. Step 6: Final answer
    x = 349.28

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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.