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Finding the Fourth Proportional to 214.60, 320.78 and 166

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Solution

The fourth proportional to 214.60, 320.78 and 166 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.60 : 320.78 = 166 : x
  2. Step 2: Convert to fraction form
    214.60/320.78 = 166/x
  3. Step 3: Cross multiply
    214.60x = 320.78 × 166
  4. Step 4: Simplify right side
    214.60x = 53,249.48
  5. Step 5: Solve for x
    x = 53,249.48/214.60
  6. Step 6: Final answer
    x = 248.13

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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.