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Finding the Fourth Proportional to 271.50, 374.79 and 168.06

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Solution

The fourth proportional to 271.50, 374.79 and 168.06 is: 232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 374.79 = 168.06 : x
  2. Step 2: Convert to fraction form
    271.50/374.79 = 168.06/x
  3. Step 3: Cross multiply
    271.50x = 374.79 × 168.06
  4. Step 4: Simplify right side
    271.50x = 62,987.21
  5. Step 5: Solve for x
    x = 62,987.21/271.50
  6. Step 6: Final answer
    x = 232.00

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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.