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Finding the Fourth Proportional to 293.25, 436.95 and 274.62

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Solution

The fourth proportional to 293.25, 436.95 and 274.62 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 436.95 = 274.62 : x
  2. Step 2: Convert to fraction form
    293.25/436.95 = 274.62/x
  3. Step 3: Cross multiply
    293.25x = 436.95 × 274.62
  4. Step 4: Simplify right side
    293.25x = 119,995.21
  5. Step 5: Solve for x
    x = 119,995.21/293.25
  6. Step 6: Final answer
    x = 409.19

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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.