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Finding the Fourth Proportional to 526.37, 789.21 and 161.10

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Solution

The fourth proportional to 526.37, 789.21 and 161.10 is: 241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.37 : 789.21 = 161.10 : x
  2. Step 2: Convert to fraction form
    526.37/789.21 = 161.10/x
  3. Step 3: Cross multiply
    526.37x = 789.21 × 161.10
  4. Step 4: Simplify right side
    526.37x = 127,141.73
  5. Step 5: Solve for x
    x = 127,141.73/526.37
  6. Step 6: Final answer
    x = 241.55

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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.