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Finding the Fourth Proportional to 526.42, 789.48 and 218.36

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Solution

The fourth proportional to 526.42, 789.48 and 218.36 is: 327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.42 : 789.48 = 218.36 : x
  2. Step 2: Convert to fraction form
    526.42/789.48 = 218.36/x
  3. Step 3: Cross multiply
    526.42x = 789.48 × 218.36
  4. Step 4: Simplify right side
    526.42x = 172,390.85
  5. Step 5: Solve for x
    x = 172,390.85/526.42
  6. Step 6: Final answer
    x = 327.48

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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.