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Finding the Fourth Proportional to 279.76, 419.64 and 171.64

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Solution

The fourth proportional to 279.76, 419.64 and 171.64 is: 257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 419.64 = 171.64 : x
  2. Step 2: Convert to fraction form
    279.76/419.64 = 171.64/x
  3. Step 3: Cross multiply
    279.76x = 419.64 × 171.64
  4. Step 4: Simplify right side
    279.76x = 72,027.01
  5. Step 5: Solve for x
    x = 72,027.01/279.76
  6. Step 6: Final answer
    x = 257.46

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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.