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Finding the Fourth Proportional to 278.89, 418.18 and 157.39

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Solution

The fourth proportional to 278.89, 418.18 and 157.39 is: 236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.89 : 418.18 = 157.39 : x
  2. Step 2: Convert to fraction form
    278.89/418.18 = 157.39/x
  3. Step 3: Cross multiply
    278.89x = 418.18 × 157.39
  4. Step 4: Simplify right side
    278.89x = 65,817.35
  5. Step 5: Solve for x
    x = 65,817.35/278.89
  6. Step 6: Final answer
    x = 236.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.