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Finding the Fourth Proportional to 293.88, 437.16 and 290.94

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Solution

The fourth proportional to 293.88, 437.16 and 290.94 is: 432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 437.16 = 290.94 : x
  2. Step 2: Convert to fraction form
    293.88/437.16 = 290.94/x
  3. Step 3: Cross multiply
    293.88x = 437.16 × 290.94
  4. Step 4: Simplify right side
    293.88x = 127,187.33
  5. Step 5: Solve for x
    x = 127,187.33/293.88
  6. Step 6: Final answer
    x = 432.79

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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.