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Finding the Fourth Proportional to 358.42, 537.81 and 166

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Solution

The fourth proportional to 358.42, 537.81 and 166 is: 249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.42 : 537.81 = 166 : x
  2. Step 2: Convert to fraction form
    358.42/537.81 = 166/x
  3. Step 3: Cross multiply
    358.42x = 537.81 × 166
  4. Step 4: Simplify right side
    358.42x = 89,276.46
  5. Step 5: Solve for x
    x = 89,276.46/358.42
  6. Step 6: Final answer
    x = 249.08

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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.