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Finding the Fourth Proportional to 291.24, 439.02 and 271.44

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Solution

The fourth proportional to 291.24, 439.02 and 271.44 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 439.02 = 271.44 : x
  2. Step 2: Convert to fraction form
    291.24/439.02 = 271.44/x
  3. Step 3: Cross multiply
    291.24x = 439.02 × 271.44
  4. Step 4: Simplify right side
    291.24x = 119,167.59
  5. Step 5: Solve for x
    x = 119,167.59/291.24
  6. Step 6: Final answer
    x = 409.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.