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Finding the Fourth Proportional to 214.07, 321.10 and 85.82

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Solution

The fourth proportional to 214.07, 321.10 and 85.82 is: 128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.07 : 321.10 = 85.82 : x
  2. Step 2: Convert to fraction form
    214.07/321.10 = 85.82/x
  3. Step 3: Cross multiply
    214.07x = 321.10 × 85.82
  4. Step 4: Simplify right side
    214.07x = 27,554.77
  5. Step 5: Solve for x
    x = 27,554.77/214.07
  6. Step 6: Final answer
    x = 128.72

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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.