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Finding the Fourth Proportional to 166.40, 246.08 and 166.40

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Solution

The fourth proportional to 166.40, 246.08 and 166.40 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 246.08 = 166.40 : x
  2. Step 2: Convert to fraction form
    166.40/246.08 = 166.40/x
  3. Step 3: Cross multiply
    166.40x = 246.08 × 166.40
  4. Step 4: Simplify right side
    166.40x = 40,947.71
  5. Step 5: Solve for x
    x = 40,947.71/166.40
  6. Step 6: Final answer
    x = 246.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.