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Finding the Fourth Proportional to 230.81, 318.26 and 165.47

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Solution

The fourth proportional to 230.81, 318.26 and 165.47 is: 228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 318.26 = 165.47 : x
  2. Step 2: Convert to fraction form
    230.81/318.26 = 165.47/x
  3. Step 3: Cross multiply
    230.81x = 318.26 × 165.47
  4. Step 4: Simplify right side
    230.81x = 52,661.30
  5. Step 5: Solve for x
    x = 52,661.30/230.81
  6. Step 6: Final answer
    x = 228.16

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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.