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Finding the Fourth Proportional to 293.38, 437.07 and 274.75

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Solution

The fourth proportional to 293.38, 437.07 and 274.75 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 437.07 = 274.75 : x
  2. Step 2: Convert to fraction form
    293.38/437.07 = 274.75/x
  3. Step 3: Cross multiply
    293.38x = 437.07 × 274.75
  4. Step 4: Simplify right side
    293.38x = 120,084.98
  5. Step 5: Solve for x
    x = 120,084.98/293.38
  6. Step 6: Final answer
    x = 409.32

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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.