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Finding the Fourth Proportional to 233.12, 347.20 and 220.64

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Solution

The fourth proportional to 233.12, 347.20 and 220.64 is: 328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 347.20 = 220.64 : x
  2. Step 2: Convert to fraction form
    233.12/347.20 = 220.64/x
  3. Step 3: Cross multiply
    233.12x = 347.20 × 220.64
  4. Step 4: Simplify right side
    233.12x = 76,606.21
  5. Step 5: Solve for x
    x = 76,606.21/233.12
  6. Step 6: Final answer
    x = 328.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.