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Finding the Fourth Proportional to 233.25, 349.29 and 208.95

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Solution

The fourth proportional to 233.25, 349.29 and 208.95 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 349.29 = 208.95 : x
  2. Step 2: Convert to fraction form
    233.25/349.29 = 208.95/x
  3. Step 3: Cross multiply
    233.25x = 349.29 × 208.95
  4. Step 4: Simplify right side
    233.25x = 72,984.15
  5. Step 5: Solve for x
    x = 72,984.15/233.25
  6. Step 6: Final answer
    x = 312.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.