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Finding the Fourth Proportional to 233.35, 347.51 and 219.38

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Solution

The fourth proportional to 233.35, 347.51 and 219.38 is: 326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.35 : 347.51 = 219.38 : x
  2. Step 2: Convert to fraction form
    233.35/347.51 = 219.38/x
  3. Step 3: Cross multiply
    233.35x = 347.51 × 219.38
  4. Step 4: Simplify right side
    233.35x = 76,235.55
  5. Step 5: Solve for x
    x = 76,235.55/233.35
  6. Step 6: Final answer
    x = 326.70

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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.