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Finding the Fourth Proportional to 318.33, 442.26 and 312.26

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Solution

The fourth proportional to 318.33, 442.26 and 312.26 is: 433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.33 : 442.26 = 312.26 : x
  2. Step 2: Convert to fraction form
    318.33/442.26 = 312.26/x
  3. Step 3: Cross multiply
    318.33x = 442.26 × 312.26
  4. Step 4: Simplify right side
    318.33x = 138,097.90
  5. Step 5: Solve for x
    x = 138,097.90/318.33
  6. Step 6: Final answer
    x = 433.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.