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Finding the Fourth Proportional to 278.31, 417.59 and 105.06

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Solution

The fourth proportional to 278.31, 417.59 and 105.06 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.31 : 417.59 = 105.06 : x
  2. Step 2: Convert to fraction form
    278.31/417.59 = 105.06/x
  3. Step 3: Cross multiply
    278.31x = 417.59 × 105.06
  4. Step 4: Simplify right side
    278.31x = 43,873.44
  5. Step 5: Solve for x
    x = 43,873.44/278.31
  6. Step 6: Final answer
    x = 157.64

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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.