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Finding the Fourth Proportional to 214.78, 321.42 and 175.78

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Solution

The fourth proportional to 214.78, 321.42 and 175.78 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 321.42 = 175.78 : x
  2. Step 2: Convert to fraction form
    214.78/321.42 = 175.78/x
  3. Step 3: Cross multiply
    214.78x = 321.42 × 175.78
  4. Step 4: Simplify right side
    214.78x = 56,499.21
  5. Step 5: Solve for x
    x = 56,499.21/214.78
  6. Step 6: Final answer
    x = 263.06

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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.