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Finding the Fourth Proportional to 293.63, 438.38 and 262.85

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Solution

The fourth proportional to 293.63, 438.38 and 262.85 is: 392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 438.38 = 262.85 : x
  2. Step 2: Convert to fraction form
    293.63/438.38 = 262.85/x
  3. Step 3: Cross multiply
    293.63x = 438.38 × 262.85
  4. Step 4: Simplify right side
    293.63x = 115,225.66
  5. Step 5: Solve for x
    x = 115,225.66/293.63
  6. Step 6: Final answer
    x = 392.42

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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.