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Finding the Fourth Proportional to 230.69, 318.43 and 157.00

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Solution

The fourth proportional to 230.69, 318.43 and 157.00 is: 216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.69 : 318.43 = 157.00 : x
  2. Step 2: Convert to fraction form
    230.69/318.43 = 157.00/x
  3. Step 3: Cross multiply
    230.69x = 318.43 × 157.00
  4. Step 4: Simplify right side
    230.69x = 49,992.91
  5. Step 5: Solve for x
    x = 49,992.91/230.69
  6. Step 6: Final answer
    x = 216.71

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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.