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Finding the Fourth Proportional to 233.16, 351.75 and 221.76

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Solution

The fourth proportional to 233.16, 351.75 and 221.76 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 351.75 = 221.76 : x
  2. Step 2: Convert to fraction form
    233.16/351.75 = 221.76/x
  3. Step 3: Cross multiply
    233.16x = 351.75 × 221.76
  4. Step 4: Simplify right side
    233.16x = 78,004.08
  5. Step 5: Solve for x
    x = 78,004.08/233.16
  6. Step 6: Final answer
    x = 334.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.