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Finding the Fourth Proportional to 317.72, 438.30 and 207.15

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Solution

The fourth proportional to 317.72, 438.30 and 207.15 is: 285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.72 : 438.30 = 207.15 : x
  2. Step 2: Convert to fraction form
    317.72/438.30 = 207.15/x
  3. Step 3: Cross multiply
    317.72x = 438.30 × 207.15
  4. Step 4: Simplify right side
    317.72x = 90,793.85
  5. Step 5: Solve for x
    x = 90,793.85/317.72
  6. Step 6: Final answer
    x = 285.77

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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.