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Finding the Fourth Proportional to 271.77, 405.80 and 233.30

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Solution

The fourth proportional to 271.77, 405.80 and 233.30 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.77 : 405.80 = 233.30 : x
  2. Step 2: Convert to fraction form
    271.77/405.80 = 233.30/x
  3. Step 3: Cross multiply
    271.77x = 405.80 × 233.30
  4. Step 4: Simplify right side
    271.77x = 94,669.94
  5. Step 5: Solve for x
    x = 94,669.94/271.77
  6. Step 6: Final answer
    x = 348.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.