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Finding the Fourth Proportional to 166.06, 248.64 and 130.06

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Solution

The fourth proportional to 166.06, 248.64 and 130.06 is: 194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 248.64 = 130.06 : x
  2. Step 2: Convert to fraction form
    166.06/248.64 = 130.06/x
  3. Step 3: Cross multiply
    166.06x = 248.64 × 130.06
  4. Step 4: Simplify right side
    166.06x = 32,338.12
  5. Step 5: Solve for x
    x = 32,338.12/166.06
  6. Step 6: Final answer
    x = 194.74

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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.