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Finding the Fourth Proportional to 318.18, 438.78 and 262.80

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Solution

The fourth proportional to 318.18, 438.78 and 262.80 is: 362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.18 : 438.78 = 262.80 : x
  2. Step 2: Convert to fraction form
    318.18/438.78 = 262.80/x
  3. Step 3: Cross multiply
    318.18x = 438.78 × 262.80
  4. Step 4: Simplify right side
    318.18x = 115,311.38
  5. Step 5: Solve for x
    x = 115,311.38/318.18
  6. Step 6: Final answer
    x = 362.41

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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.