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Finding the Fourth Proportional to 293.46, 438.08 and 272.09

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Solution

The fourth proportional to 293.46, 438.08 and 272.09 is: 406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 438.08 = 272.09 : x
  2. Step 2: Convert to fraction form
    293.46/438.08 = 272.09/x
  3. Step 3: Cross multiply
    293.46x = 438.08 × 272.09
  4. Step 4: Simplify right side
    293.46x = 119,196.92
  5. Step 5: Solve for x
    x = 119,196.92/293.46
  6. Step 6: Final answer
    x = 406.18

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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.