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Finding the Fourth Proportional to 166.04, 248.31 and 127.01

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Solution

The fourth proportional to 166.04, 248.31 and 127.01 is: 189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 248.31 = 127.01 : x
  2. Step 2: Convert to fraction form
    166.04/248.31 = 127.01/x
  3. Step 3: Cross multiply
    166.04x = 248.31 × 127.01
  4. Step 4: Simplify right side
    166.04x = 31,536.61
  5. Step 5: Solve for x
    x = 31,536.61/166.04
  6. Step 6: Final answer
    x = 189.93

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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.