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Finding the Fourth Proportional to 271.24, 407.44 and 235.08

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Solution

The fourth proportional to 271.24, 407.44 and 235.08 is: 353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 407.44 = 235.08 : x
  2. Step 2: Convert to fraction form
    271.24/407.44 = 235.08/x
  3. Step 3: Cross multiply
    271.24x = 407.44 × 235.08
  4. Step 4: Simplify right side
    271.24x = 95,781.00
  5. Step 5: Solve for x
    x = 95,781.00/271.24
  6. Step 6: Final answer
    x = 353.12

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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.