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Finding the Fourth Proportional to 230.43, 317.79 and 193.98

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Solution

The fourth proportional to 230.43, 317.79 and 193.98 is: 267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.43 : 317.79 = 193.98 : x
  2. Step 2: Convert to fraction form
    230.43/317.79 = 193.98/x
  3. Step 3: Cross multiply
    230.43x = 317.79 × 193.98
  4. Step 4: Simplify right side
    230.43x = 61,644.90
  5. Step 5: Solve for x
    x = 61,644.90/230.43
  6. Step 6: Final answer
    x = 267.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.