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Finding the Fourth Proportional to 233.13, 347.79 and 194.86

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Solution

The fourth proportional to 233.13, 347.79 and 194.86 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 347.79 = 194.86 : x
  2. Step 2: Convert to fraction form
    233.13/347.79 = 194.86/x
  3. Step 3: Cross multiply
    233.13x = 347.79 × 194.86
  4. Step 4: Simplify right side
    233.13x = 67,769.57
  5. Step 5: Solve for x
    x = 67,769.57/233.13
  6. Step 6: Final answer
    x = 290.70

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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.