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Finding the Fourth Proportional to 214.08, 294.96 and 164.85

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Solution

The fourth proportional to 214.08, 294.96 and 164.85 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 294.96 = 164.85 : x
  2. Step 2: Convert to fraction form
    214.08/294.96 = 164.85/x
  3. Step 3: Cross multiply
    214.08x = 294.96 × 164.85
  4. Step 4: Simplify right side
    214.08x = 48,624.16
  5. Step 5: Solve for x
    x = 48,624.16/214.08
  6. Step 6: Final answer
    x = 227.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.