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Finding the Fourth Proportional to 166.68, 229.01 and 156.01

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Solution

The fourth proportional to 166.68, 229.01 and 156.01 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 229.01 = 156.01 : x
  2. Step 2: Convert to fraction form
    166.68/229.01 = 156.01/x
  3. Step 3: Cross multiply
    166.68x = 229.01 × 156.01
  4. Step 4: Simplify right side
    166.68x = 35,727.85
  5. Step 5: Solve for x
    x = 35,727.85/166.68
  6. Step 6: Final answer
    x = 214.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.