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Finding the Fourth Proportional to 278.34, 416.85 and 226.45

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Solution

The fourth proportional to 278.34, 416.85 and 226.45 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 416.85 = 226.45 : x
  2. Step 2: Convert to fraction form
    278.34/416.85 = 226.45/x
  3. Step 3: Cross multiply
    278.34x = 416.85 × 226.45
  4. Step 4: Simplify right side
    278.34x = 94,395.68
  5. Step 5: Solve for x
    x = 94,395.68/278.34
  6. Step 6: Final answer
    x = 339.14

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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.