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Finding the Fourth Proportional to 317.96, 438.36 and 278.20

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Solution

The fourth proportional to 317.96, 438.36 and 278.20 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.96 : 438.36 = 278.20 : x
  2. Step 2: Convert to fraction form
    317.96/438.36 = 278.20/x
  3. Step 3: Cross multiply
    317.96x = 438.36 × 278.20
  4. Step 4: Simplify right side
    317.96x = 121,951.75
  5. Step 5: Solve for x
    x = 121,951.75/317.96
  6. Step 6: Final answer
    x = 383.54

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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.