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Finding the Fourth Proportional to 272.90, 409.25 and 149.59

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Solution

The fourth proportional to 272.90, 409.25 and 149.59 is: 224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 409.25 = 149.59 : x
  2. Step 2: Convert to fraction form
    272.90/409.25 = 149.59/x
  3. Step 3: Cross multiply
    272.90x = 409.25 × 149.59
  4. Step 4: Simplify right side
    272.90x = 61,219.71
  5. Step 5: Solve for x
    x = 61,219.71/272.90
  6. Step 6: Final answer
    x = 224.33

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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.