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Finding the Fourth Proportional to 278.34, 416.70 and 224.34

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Solution

The fourth proportional to 278.34, 416.70 and 224.34 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.34 : 416.70 = 224.34 : x
  2. Step 2: Convert to fraction form
    278.34/416.70 = 224.34/x
  3. Step 3: Cross multiply
    278.34x = 416.70 × 224.34
  4. Step 4: Simplify right side
    278.34x = 93,482.48
  5. Step 5: Solve for x
    x = 93,482.48/278.34
  6. Step 6: Final answer
    x = 335.86

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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.