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Finding the Fourth Proportional to 293.76, 440 and 290.48

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Solution

The fourth proportional to 293.76, 440 and 290.48 is: 435.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 440 = 290.48 : x
  2. Step 2: Convert to fraction form
    293.76/440 = 290.48/x
  3. Step 3: Cross multiply
    293.76x = 440 × 290.48
  4. Step 4: Simplify right side
    293.76x = 127,811.20
  5. Step 5: Solve for x
    x = 127,811.20/293.76
  6. Step 6: Final answer
    x = 435.09

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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.