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Finding the Fourth Proportional to 318.36, 438.64 and 230.88

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Solution

The fourth proportional to 318.36, 438.64 and 230.88 is: 318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.36 : 438.64 = 230.88 : x
  2. Step 2: Convert to fraction form
    318.36/438.64 = 230.88/x
  3. Step 3: Cross multiply
    318.36x = 438.64 × 230.88
  4. Step 4: Simplify right side
    318.36x = 101,273.20
  5. Step 5: Solve for x
    x = 101,273.20/318.36
  6. Step 6: Final answer
    x = 318.11

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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.