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Finding the Fourth Proportional to 166.07, 248.72 and 160.30

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Solution

The fourth proportional to 166.07, 248.72 and 160.30 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.07 : 248.72 = 160.30 : x
  2. Step 2: Convert to fraction form
    166.07/248.72 = 160.30/x
  3. Step 3: Cross multiply
    166.07x = 248.72 × 160.30
  4. Step 4: Simplify right side
    166.07x = 39,869.01
  5. Step 5: Solve for x
    x = 39,869.01/166.07
  6. Step 6: Final answer
    x = 240.08

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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.