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Finding the Fourth Proportional to 271.23, 373.92 and 233.76

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Solution

The fourth proportional to 271.23, 373.92 and 233.76 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.23 : 373.92 = 233.76 : x
  2. Step 2: Convert to fraction form
    271.23/373.92 = 233.76/x
  3. Step 3: Cross multiply
    271.23x = 373.92 × 233.76
  4. Step 4: Simplify right side
    271.23x = 87,407.54
  5. Step 5: Solve for x
    x = 87,407.54/271.23
  6. Step 6: Final answer
    x = 322.26

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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.