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Finding the Fourth Proportional to 293.86, 438.41 and 263.17

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Solution

The fourth proportional to 293.86, 438.41 and 263.17 is: 392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 438.41 = 263.17 : x
  2. Step 2: Convert to fraction form
    293.86/438.41 = 263.17/x
  3. Step 3: Cross multiply
    293.86x = 438.41 × 263.17
  4. Step 4: Simplify right side
    293.86x = 115,376.36
  5. Step 5: Solve for x
    x = 115,376.36/293.86
  6. Step 6: Final answer
    x = 392.62

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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.