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Finding the Fourth Proportional to 327.16, 451.06 and 233.74

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Solution

The fourth proportional to 327.16, 451.06 and 233.74 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 451.06 = 233.74 : x
  2. Step 2: Convert to fraction form
    327.16/451.06 = 233.74/x
  3. Step 3: Cross multiply
    327.16x = 451.06 × 233.74
  4. Step 4: Simplify right side
    327.16x = 105,430.76
  5. Step 5: Solve for x
    x = 105,430.76/327.16
  6. Step 6: Final answer
    x = 322.26

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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.