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Finding the Fourth Proportional to 233.47, 347.81 and 222.94

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Solution

The fourth proportional to 233.47, 347.81 and 222.94 is: 332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.47 : 347.81 = 222.94 : x
  2. Step 2: Convert to fraction form
    233.47/347.81 = 222.94/x
  3. Step 3: Cross multiply
    233.47x = 347.81 × 222.94
  4. Step 4: Simplify right side
    233.47x = 77,538.78
  5. Step 5: Solve for x
    x = 77,538.78/233.47
  6. Step 6: Final answer
    x = 332.12

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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.