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Finding the Fourth Proportional to 525.31, 788.27 and 217.10

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Solution

The fourth proportional to 525.31, 788.27 and 217.10 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.31 : 788.27 = 217.10 : x
  2. Step 2: Convert to fraction form
    525.31/788.27 = 217.10/x
  3. Step 3: Cross multiply
    525.31x = 788.27 × 217.10
  4. Step 4: Simplify right side
    525.31x = 171,134.30
  5. Step 5: Solve for x
    x = 171,134.30/525.31
  6. Step 6: Final answer
    x = 325.78

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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.