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Finding the Fourth Proportional to 278.01, 383.72 and 231.26

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Solution

The fourth proportional to 278.01, 383.72 and 231.26 is: 319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 383.72 = 231.26 : x
  2. Step 2: Convert to fraction form
    278.01/383.72 = 231.26/x
  3. Step 3: Cross multiply
    278.01x = 383.72 × 231.26
  4. Step 4: Simplify right side
    278.01x = 88,736.01
  5. Step 5: Solve for x
    x = 88,736.01/278.01
  6. Step 6: Final answer
    x = 319.18

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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.