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Finding the Fourth Proportional to 289.56, 433.76 and 217.48

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Solution

The fourth proportional to 289.56, 433.76 and 217.48 is: 325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.56 : 433.76 = 217.48 : x
  2. Step 2: Convert to fraction form
    289.56/433.76 = 217.48/x
  3. Step 3: Cross multiply
    289.56x = 433.76 × 217.48
  4. Step 4: Simplify right side
    289.56x = 94,334.12
  5. Step 5: Solve for x
    x = 94,334.12/289.56
  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.