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Finding the Fourth Proportional to 271.06, 373.89 and 166.16

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Solution

The fourth proportional to 271.06, 373.89 and 166.16 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.06 : 373.89 = 166.16 : x
  2. Step 2: Convert to fraction form
    271.06/373.89 = 166.16/x
  3. Step 3: Cross multiply
    271.06x = 373.89 × 166.16
  4. Step 4: Simplify right side
    271.06x = 62,127.12
  5. Step 5: Solve for x
    x = 62,127.12/271.06
  6. Step 6: Final answer
    x = 229.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.