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Finding the Fourth Proportional to 253.58, 380.05 and 214.78

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Solution

The fourth proportional to 253.58, 380.05 and 214.78 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.58 : 380.05 = 214.78 : x
  2. Step 2: Convert to fraction form
    253.58/380.05 = 214.78/x
  3. Step 3: Cross multiply
    253.58x = 380.05 × 214.78
  4. Step 4: Simplify right side
    253.58x = 81,626.65
  5. Step 5: Solve for x
    x = 81,626.65/253.58
  6. Step 6: Final answer
    x = 321.89

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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.