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Finding the Fourth Proportional to 293.28, 437.83 and 260.88

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Solution

The fourth proportional to 293.28, 437.83 and 260.88 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.28 : 437.83 = 260.88 : x
  2. Step 2: Convert to fraction form
    293.28/437.83 = 260.88/x
  3. Step 3: Cross multiply
    293.28x = 437.83 × 260.88
  4. Step 4: Simplify right side
    293.28x = 114,221.09
  5. Step 5: Solve for x
    x = 114,221.09/293.28
  6. Step 6: Final answer
    x = 389.46

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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.