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Finding the Fourth Proportional to 278.42, 417.74 and 124.25

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Solution

The fourth proportional to 278.42, 417.74 and 124.25 is: 186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 417.74 = 124.25 : x
  2. Step 2: Convert to fraction form
    278.42/417.74 = 124.25/x
  3. Step 3: Cross multiply
    278.42x = 417.74 × 124.25
  4. Step 4: Simplify right side
    278.42x = 51,901.49
  5. Step 5: Solve for x
    x = 51,901.49/278.42
  6. Step 6: Final answer
    x = 186.42

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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.