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Finding the Fourth Proportional to 526.36, 789.63 and 218.29

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Solution

The fourth proportional to 526.36, 789.63 and 218.29 is: 327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 789.63 = 218.29 : x
  2. Step 2: Convert to fraction form
    526.36/789.63 = 218.29/x
  3. Step 3: Cross multiply
    526.36x = 789.63 × 218.29
  4. Step 4: Simplify right side
    526.36x = 172,364.38
  5. Step 5: Solve for x
    x = 172,364.38/526.36
  6. Step 6: Final answer
    x = 327.47

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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.