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Finding the Fourth Proportional to 293.88, 438.77 and 263.81

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Solution

The fourth proportional to 293.88, 438.77 and 263.81 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 438.77 = 263.81 : x
  2. Step 2: Convert to fraction form
    293.88/438.77 = 263.81/x
  3. Step 3: Cross multiply
    293.88x = 438.77 × 263.81
  4. Step 4: Simplify right side
    293.88x = 115,749.72
  5. Step 5: Solve for x
    x = 115,749.72/293.88
  6. Step 6: Final answer
    x = 393.87

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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.