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Finding the Fourth Proportional to 233.17, 347.99 and 227.71

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Solution

The fourth proportional to 233.17, 347.99 and 227.71 is: 339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 347.99 = 227.71 : x
  2. Step 2: Convert to fraction form
    233.17/347.99 = 227.71/x
  3. Step 3: Cross multiply
    233.17x = 347.99 × 227.71
  4. Step 4: Simplify right side
    233.17x = 79,240.80
  5. Step 5: Solve for x
    x = 79,240.80/233.17
  6. Step 6: Final answer
    x = 339.84

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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.