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Finding the Fourth Proportional to 526.42, 789.45 and 179.66

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Solution

The fourth proportional to 526.42, 789.45 and 179.66 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 789.45 = 179.66 : x
  2. Step 2: Convert to fraction form
    526.42/789.45 = 179.66/x
  3. Step 3: Cross multiply
    526.42x = 789.45 × 179.66
  4. Step 4: Simplify right side
    526.42x = 141,832.59
  5. Step 5: Solve for x
    x = 141,832.59/526.42
  6. Step 6: Final answer
    x = 269.43

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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.