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Finding the Fourth Proportional to 294.08, 438.42 and 271.04

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Solution

The fourth proportional to 294.08, 438.42 and 271.04 is: 404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.08 : 438.42 = 271.04 : x
  2. Step 2: Convert to fraction form
    294.08/438.42 = 271.04/x
  3. Step 3: Cross multiply
    294.08x = 438.42 × 271.04
  4. Step 4: Simplify right side
    294.08x = 118,829.36
  5. Step 5: Solve for x
    x = 118,829.36/294.08
  6. Step 6: Final answer
    x = 404.07

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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.