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Finding the Fourth Proportional to 434.45, 650.66 and 217.50

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Solution

The fourth proportional to 434.45, 650.66 and 217.50 is: 325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.45 : 650.66 = 217.50 : x
  2. Step 2: Convert to fraction form
    434.45/650.66 = 217.50/x
  3. Step 3: Cross multiply
    434.45x = 650.66 × 217.50
  4. Step 4: Simplify right side
    434.45x = 141,517.46
  5. Step 5: Solve for x
    x = 141,517.46/434.45
  6. Step 6: Final answer
    x = 325.74

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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.