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Finding the Fourth Proportional to 253.95, 379.29 and 217.50

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Solution

The fourth proportional to 253.95, 379.29 and 217.50 is: 324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.95 : 379.29 = 217.50 : x
  2. Step 2: Convert to fraction form
    253.95/379.29 = 217.50/x
  3. Step 3: Cross multiply
    253.95x = 379.29 × 217.50
  4. Step 4: Simplify right side
    253.95x = 82,495.58
  5. Step 5: Solve for x
    x = 82,495.58/253.95
  6. Step 6: Final answer
    x = 324.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.