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Finding the Fourth Proportional to 253.16, 377.89 and 217.32

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Solution

The fourth proportional to 253.16, 377.89 and 217.32 is: 324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 377.89 = 217.32 : x
  2. Step 2: Convert to fraction form
    253.16/377.89 = 217.32/x
  3. Step 3: Cross multiply
    253.16x = 377.89 × 217.32
  4. Step 4: Simplify right side
    253.16x = 82,123.05
  5. Step 5: Solve for x
    x = 82,123.05/253.16
  6. Step 6: Final answer
    x = 324.39

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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.