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Finding the Fourth Proportional to 230.84, 344.63 and 209.31

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Solution

The fourth proportional to 230.84, 344.63 and 209.31 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.84 : 344.63 = 209.31 : x
  2. Step 2: Convert to fraction form
    230.84/344.63 = 209.31/x
  3. Step 3: Cross multiply
    230.84x = 344.63 × 209.31
  4. Step 4: Simplify right side
    230.84x = 72,133.46
  5. Step 5: Solve for x
    x = 72,133.46/230.84
  6. Step 6: Final answer
    x = 312.49

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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.