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Finding the Fourth Proportional to 525.60, 788.50 and 217.28

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Solution

The fourth proportional to 525.60, 788.50 and 217.28 is: 325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 788.50 = 217.28 : x
  2. Step 2: Convert to fraction form
    525.60/788.50 = 217.28/x
  3. Step 3: Cross multiply
    525.60x = 788.50 × 217.28
  4. Step 4: Simplify right side
    525.60x = 171,326.71
  5. Step 5: Solve for x
    x = 171,326.71/525.60
  6. Step 6: Final answer
    x = 325.96

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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.