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Finding the Fourth Proportional to 278.28, 417.12 and 186.75

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Solution

The fourth proportional to 278.28, 417.12 and 186.75 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 417.12 = 186.75 : x
  2. Step 2: Convert to fraction form
    278.28/417.12 = 186.75/x
  3. Step 3: Cross multiply
    278.28x = 417.12 × 186.75
  4. Step 4: Simplify right side
    278.28x = 77,896.46
  5. Step 5: Solve for x
    x = 77,896.46/278.28
  6. Step 6: Final answer
    x = 279.92

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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.