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Finding the Fourth Proportional to 278.17, 383.91 and 173.26

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Solution

The fourth proportional to 278.17, 383.91 and 173.26 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 383.91 = 173.26 : x
  2. Step 2: Convert to fraction form
    278.17/383.91 = 173.26/x
  3. Step 3: Cross multiply
    278.17x = 383.91 × 173.26
  4. Step 4: Simplify right side
    278.17x = 66,516.25
  5. Step 5: Solve for x
    x = 66,516.25/278.17
  6. Step 6: Final answer
    x = 239.12

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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.