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Finding the Fourth Proportional to 318.15, 438.57 and 207.36

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Solution

The fourth proportional to 318.15, 438.57 and 207.36 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 438.57 = 207.36 : x
  2. Step 2: Convert to fraction form
    318.15/438.57 = 207.36/x
  3. Step 3: Cross multiply
    318.15x = 438.57 × 207.36
  4. Step 4: Simplify right side
    318.15x = 90,941.88
  5. Step 5: Solve for x
    x = 90,941.88/318.15
  6. Step 6: Final answer
    x = 285.85

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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.