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Finding the Fourth Proportional to 526.58, 789.97 and 179.90

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Solution

The fourth proportional to 526.58, 789.97 and 179.90 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.58 : 789.97 = 179.90 : x
  2. Step 2: Convert to fraction form
    526.58/789.97 = 179.90/x
  3. Step 3: Cross multiply
    526.58x = 789.97 × 179.90
  4. Step 4: Simplify right side
    526.58x = 142,115.60
  5. Step 5: Solve for x
    x = 142,115.60/526.58
  6. Step 6: Final answer
    x = 269.88

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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.