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Finding the Fourth Proportional to 233.86, 349.06 and 206.52

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Solution

The fourth proportional to 233.86, 349.06 and 206.52 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.86 : 349.06 = 206.52 : x
  2. Step 2: Convert to fraction form
    233.86/349.06 = 206.52/x
  3. Step 3: Cross multiply
    233.86x = 349.06 × 206.52
  4. Step 4: Simplify right side
    233.86x = 72,087.87
  5. Step 5: Solve for x
    x = 72,087.87/233.86
  6. Step 6: Final answer
    x = 308.25

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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.