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Finding the Fourth Proportional to 233.57, 347.30 and 223.85

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Solution

The fourth proportional to 233.57, 347.30 and 223.85 is: 332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 347.30 = 223.85 : x
  2. Step 2: Convert to fraction form
    233.57/347.30 = 223.85/x
  3. Step 3: Cross multiply
    233.57x = 347.30 × 223.85
  4. Step 4: Simplify right side
    233.57x = 77,740.25
  5. Step 5: Solve for x
    x = 77,740.25/233.57
  6. Step 6: Final answer
    x = 332.84

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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.