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Finding the Fourth Proportional to 229.71, 342.95 and 208.18

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Solution

The fourth proportional to 229.71, 342.95 and 208.18 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 342.95 = 208.18 : x
  2. Step 2: Convert to fraction form
    229.71/342.95 = 208.18/x
  3. Step 3: Cross multiply
    229.71x = 342.95 × 208.18
  4. Step 4: Simplify right side
    229.71x = 71,393.43
  5. Step 5: Solve for x
    x = 71,393.43/229.71
  6. Step 6: Final answer
    x = 310.80

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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.